please solve the logarithmic equation and show your work. log3(2x-5)=2

Answers

Answer 1
X=7
1- determine the defined rang=> log3(2x-5)=2,x>5/2
2-convert it into exponential form using (log'a'(x)=b is equal to x=a exponent b)=
2x-5=3 with exponet 2
3-evaluate = 2x-5=9
-> 2x=9+5
2x=14
X=7
Hope this helps!!

Related Questions

An 8 ft tall tent standing next to a man casts a 16 ft shadow. If the man is 6 ft tall, then how long is his shadow?

Answers

Answer:

The man's shadow is 12 feet long.

Step-by-step explanation:

In this question, we are given that an 8 foot tall tent casts a 16 foot shadow, and we are asked the calculate the length of the shadow a 6 foot tall man casts.

To solve this problem, find the relationship between 8 and 16- 16 is twice as much as 8, as 8 x 2 = 16.

From this we have: "The shadow of an object is twice as long as the object."

We can use this to calculate the length of the shadow for a 6 foot tall man.  Since the height of the man is 6 feet, the length of his shadow would be 12 feet.

Let me know if this helps!

Simplify the expression to a polynomial in standard form:
(3x – 10)(x2+ 2x - 1 )

Answers

Answer:

[tex]3x ^{3} - {4}^{2} - 23x + 10[/tex]

What is f(1/2)? (1 over 2)

Answers

5 is the correct answer

PLEASE IT DUE IN 1 HR :(((((( During the month of February, Fabulous Feet Shoe Mart sold 30 pairs of red loafers. After an ad campaign to boost sales, they sold 39 pairs in March. Find the percent of increase in sales.

Answers

the percent of increase is 30%, hope this helps :)

Answer:

9%

Step-by-step explanation:

i don't know if its  right lmk

Help please i’m terrible at maths !!

Answers

Exactly 9/40 or about 1/5

6. The Haley family orders a large pizza for
dinner.
The pizza has a circumference of 25.12 inches.
The radius of the pizza measures 4 inches.
Which of the following ratios relates the
circumference of the pizza to its diameter?

25.12
25.12
©
8
82
B
8
25.12
D
25.12
42

Answers

Definitely D and since I answered can you give me brainisht?

Pls help I really need help
Show workings pls

Answers

Answer:

B.) Perpendicular

Step-by-step explanation:

Aiden cuts a ball of string into 14 equal pieces. The length of each piece of string is 2 1/4 yards. What is the original length of the ball of string?

Answers

Answer:

31 1/2 yards

Step-by-step explanation:

In order to calculate the original length of the ball of string we simply need to multiply the length of each piece of string by the total number of strings that were produced from the original ball of string. First, we can turn the 2 1/4 into a single decimal number. Since 1/4 is equal to 0.25 we just add this to 2 to get 2.25, now we can go ahead and multiply this by the 14 total pieces.

2.25 * 14 = 31.5 or 31 1/2 yards

Alanna tried to solve an equation step by step. \begin{aligned} 4c&=12\\\\ \dfrac{4c}{4}&=12\cdot4&\green{\text{Step } 1}\\\\ c&=48&\blue{\text{Step } 2} \end{aligned} 4c 4 4c ​ c ​ =12 =12⋅4 =48 ​ Step 1 Step 2 ​ Find Alanna's mistake.

Answers

Answer:

Her mistake was in step 1

Step-by-step explanation:

Given the expression solved by Alanna

4c = 12

To get c, we will divide both sides of the equation by 4:

4c/4 = 12/4

c = 12/4

c = 3

Alanna made mistake in step 1 where she divided multiplied the right hand side of the equation by 4 instead of dividing by 4

Answer:

a

Step-by-step explanation:

X
An airplane climbs at an angle of
16° with the ground. Find the
ground distance the plane travels
as it moves 2500 m through the
air.
Help me

Answers

Answer:

[tex]2403\:\mathrm{m}[/tex]

Step-by-step explanation:

We can form a right triangle and use trigonometry for a right triangle to solve this. The ground distance the plane travels is its displacement in the x-direction. The 2500 meters the plane moves through represents the hypotenuse of right triangle, and the ground distance is the adjacent leg of the [tex]16^{\circ}[/tex] angle. Therefore, we set up the following equation:

[tex]\cos 16^{\circ}=\frac{x}{2500}[/tex], where [tex]x[/tex] is the ground distance.

Solving, we get [tex]x=2500\cdot \cos 16^{\circ} \approx \fbox{$2403\:\mathrm{m}$}[/tex].

What is the lateral surface area of the triangular pyramid?

Answers

I would think c but I’m not completely sure sorry if it’s Wrong

Deena had 30 dollars to spend on 3 gifts. She spent 10 1 4 dollars on gift A and 5 4 5 dollars on gift B. How much money did she have left for gift C?

Answers

Answer:

$14.41

Step-by-step explanation:

5.45+10.14=15.59 30-15.59=14.41

Please help!!!
Composition of functions~

Answers

Answer:

[tex]g(h(-8)) = 119[/tex]

Hence, option B) is true.

Step-by-step explanation:

Given

g(x) = 2x-5

h(x) = x² - 2

To determine

[tex]g(h(-8)) = ?[/tex]

In order to determine g(h(-8)), first we need to determine h(-8), so

substituting x = -8 in h(x) = x² - 2

h(x) = x² - 2

h(-8) = (-8)² - 2

h(-8) = 64 - 2

h(-8) = 62

so we can write

[tex]g(h(-8)) = g(62)[/tex]

now, to determine g(62), substitute x = 62 in g(x) = 2x-5v

g(x) = 2x-5

g(62) = 2(62) - 5

g(62) = 124 - 5

g(62) = 119

so,

[tex]g(h(-8)) = g(62)=119[/tex]

Therefore,

[tex]g(h(-8)) = 119[/tex]

Hence, option B) is true.

>) For its swim uniform, the team has a choice of 5 different bathing suits, 6 different swim caps, and 3 kinds of goggles. If a uniform is made of 1 bathing suit, 1 swim cap, and 1 pair of goggles, how many different uniforms are possible?​

Answers

Answer:

i think it would be like 3 but im not sure


Which property is illustrated by the following statement? If A ZXY=AFDE,
and AFDE= A CAB, then AZXY ACAB.

A. Transitive
O B. Associative
O C. Symmetric
O D. Reflexive

Answers

Answer:

A. Transitive

HELLO URGENT PLS HELP ME WITH THIS

Directions: Prepare adjusting entries for the following; take note that the company is using the calendar year.

1. The cost of electricity used for the month of December 2018 is P4,000. The electricity bill was received and paid in January 2019.

2. Employees earned total salaries of P100,000 in December 2018. However, the salaries were paid only in January 2019.​

Answers

Answer:

try subtracting 1000,000-40000. I may be wrong

Write the equation of the line in slope-intercept that has passes through the points and (4, -8). (-3, 27) ​

Answers

Answer:

It's y = -5x + 12 and/or 5x + y = 12

Step-by-step explanation:

(x,y) is really helpful

*I believe that I'm correct, but I would recommend a quick double-check (just like any other math-related question)

please help, precalculus will report false answers

Answers

ExplanationGiven the equation.

[tex]f(x) = \frac{ {2}^{x} }{x} [/tex]

Consider each terms for both numerator and denominator.

Numerator

[tex]y = {2}^{x} [/tex]

The function family is exponential when separating the denominator out of numerator.

Exponential family have the equation of

[tex]y = {a}^{x} [/tex]

Denominator

[tex]y = x[/tex]

The function family is linear when separating the numerator. The equation for linear family is only

[tex]y = mx + b[/tex]

We combine both exponential and linear by dividing the exponential with linear.

AnswerWe divide the exponential function by a linear function.

300/200 as a terminating decimal.

Answers

Answer:

1 100/200

Step-by-step explanation:

Answer:

1.5

Step-by-step explanation:

What is the measure of the radius of OM?
128
O A. 14.8 units
S
7.4
7.4
O B. 12.8 units
C. 7.4 units
D. 3.7 units

Answers

Answer:

it should be 7.4

Step-by-step explanation:

The measure of the radius of OM is 7.4 units. Therefore, option B is the correct answer.

What is the circle?

A circle is a two-dimensional figure formed by a set of points that are at a constant or at a fixed distance (radius) from a fixed point (center) on the plane. The fixed point is called the origin or center of the circle and the fixed distance of the points from the origin is called the radius.

Radius of a circle is the distance from the center of the circle to any point on it's circumference.

Here, SM=OM=7.4 units

Therefore, option B is the correct answer.

To learn more about the circle visit:

https://brainly.com/question/11833983.

#SPJ7

Katie wants to figure out how far her school is from her house. She took out a map and measured the distance to be 4 inches. If the scale factor on the map is 1 inch = 6 miles, how many miles would her house from school be

Answers

Answer:

24 miles UwU

Step-by-step explanation: G'day mate!

please help me please will give brainliest


please solve that way it's said in the picture please question 1 and 2​

Answers

Question 2
2x^2 +2x - 2 + 1/x-1

Can someone please answer quick there’s a math test and I only have one minute to answer this question please it’s my last question.

Answers

Answer:

The equation of the line in slope-intercept form is:

y = 3/5x + 5

Step-by-step explanation:

The slope-intercept form of the line equation

[tex]y = mx+b[/tex]

where

m is the slopeb is the y-intercept

Taking two points

(-5, 2)(5, 8)

Taking two points (-5, 2) and (5, 8) to determine the slope

[tex]\mathrm{Slope}=\frac{y_2-y_1}{x_2-x_1}[/tex]

[tex]\left(x_1,\:y_1\right)=\left(-5,\:2\right),\:\left(x_2,\:y_2\right)=\left(5,\:8\right)[/tex]

[tex]m=\frac{8-2}{5-\left(-5\right)}[/tex]

Refine

[tex]m=\frac{3}{5}[/tex]

We know that the value of y-intercept can be determined by setting x = 0, and determining the corresponding value of y.

From the graph, it is clear

at x = 0, y = 5

Thus, the y-intercept b = 5

now, substituting b = 5 and m = 3/5 in the slope-intercept form of the line equation

y = mx+b

y = 3/5x + 5

Therefore, the equation of the line in slope-intercept form is:

y = 3/5x + 5

Dylan went to a banquet at the end of the meal equal amounts of pieces of chocolate blueberry and pecan pie were passed out randomly to the guest what is the probability that dylan will receive the apple pie

Answers

Answer:

1/2

Step-by-step explanation:

i will give you brainliest if u are right help asap

Answers

Answer:

a) 94°

Step-by-step explanation:

shape is a 5-sided polygon, known as a pentagon

number of degrees inside can be found by taking the number of sides (5), deducting 2 (3) and then multiplying by 180°.

Therefore there are 540° altogether.

add all like terms for all five angles:  24x - 12 = 540

                                                             24x = 552

                                                               x = 23

m∡P = 4(23) = 2

         = 92 + 2

          = 94°

Hazelhas$100inasavingsaccountthatearns10%interestperyear.Theinterestisnotcompounded.Howmuchwillshehavein1year? Use the formula i = prt, where i is the interest earned, p is the principal (starting amount), r is the interest rate expressed as a decimal, and t is the time in years.

Answers

Answer: See explanation

Step-by-step explanation:

Interest = PRT

Principal = $100

Rate = 10%

Time = 1 year

Interest = PRT = (100 × 10% × 1)

= 100 × 0.1 × 1

Interest = $10

Amount = Principal + Interest

= $100 + $10

= $110

What is the approximate area of the circle shown below?

Answers

Answer:

c

Step-by-step explanation:

The answer is: 1661.9 which is C 1662 because your rounding up

One liter is approximately 34 fluid ounces. Which is closest to the number of liters in 280 fluid ounces

Answers

Answer:

About 8 (8.28059 to be exact)

Step-by-step explanation:

PLEASE HELP! NEED HELP NOWWWW!!!! PLS! HELPPPP

Write the linear equation for the following word problem:

Tickets for the school play are $4 in advance and 5$ at the door. Total ticket sales were $440

Answers

4a+5d=440 I hope this helps

Read what it says I’ll mark you brainlist plz helpp

Answers

Answer: y=1/2x-1

Step-by-step explanation:

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