Which equation is equivalent to 23x= 10?
log, 10 = 30
log, 3x = 10
log 2 = 30
log 3.0
2
Answers
cause I’m big brain
After applying some properties of logarithm the correct expression for the given logarithmic equation we get is 3x = log₂ 10.
Use the concept of logarithm defined as:
The logarithmic function is the opposite of the exponentiation of that function.
It can be mathematically defined as:
For [tex]x > 0 , a > 0[/tex], and [tex]a\neq1[/tex],
[tex]y= log_a x[/tex] if and only if x = ay
Then the function is given by
[tex]f(x) = log_a x[/tex]
Where a is the base of function.
The given expression is:
[tex]2^{3x} = 10[/tex]
Take log both sides,
[tex]\text{log } 2^{3x} = \text{log } 10[/tex]
Since we know that,
[tex]\text{ log} a^n = n\text{ log} a[/tex]
Therefore,
3x log 2 = log 10
Dividing both sides by 2
3x = log10/log2
Since we know that,
[tex]\text{log} _a b = \dfrac{\text{log}_c b}{\text{log}_c a}[/tex]
Therefore,
3x = log₂ 10.
Hence,
The correct expression is 3x = log₂ 10.
To learn more about logarithmic expression visit:
https://brainly.com/question/29194783
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Related Questions
Which phrase represents the algebraic expression for r + 12?
A. The difference of a number and twelve.
B. The product of a number and twelve.
C. The quotient of a number and twelve.
D. The sum of a number and twelve.
Answers
Answer: D) The sum of a number and twelve
==================================================
Explanation:
r = an unknown number
r+12 = sum of the unknown number and 12
The term "sum" refers specifically to the result of an addition problem.
As another example, saying 2+3 = 5 has a sum of 5.
How does the product of two fractions less
than 1 compare with the two fractions
being multiplied? Is the product greater
than, less than, or equal to each fraction?
How do you know?
Answers
Answer:
Less than
Step-by-step explanation:
EX:
1/2 * 1/2 = 1/4
1*1 = 1
2*2 = 4
when you multiply two fractions, you get a fraction of a fraction.
Alex was looking to buy a computer. The
computer was originally $350, but he had
a coupon for 25% off. How much did the
computer cost with the discount?
Answers
..Its C right.????........
Answers
Find the slope of the line parallel to the line graphed.
A) -1
B) 0
C) 1
D) undefined
Answers
Please help. I would appreciate it.
Answers
Answer:
c
Step-by-step explanation:
280/2016 * 13000000
answer is option d 2.8 million
A 170 ft string attached to a kite makes a 40⁰ angle with the ground. What is the height of the kite to the nearest tenth? 130.2 ft 33 ft 142.6 ft 109.3 ft
Answers
Answer:
109.3 ft
Step-by-step explanation:
Remembering SOHCAHTOA
We would be using sin
sin = opposite / hypotenuse
sin 40 = x / 170
0.6428 = x/170
x = 0.6428 x 170 = 109.3 ft
the tenth is the first number after the decimal place. To convert to the nearest tenth, look at the number after the tenth (the hundredth). If the number is greater or equal to 5, add 1 to the tenth figure. If this is not the case, add zero
The base of a prism is a square 7 cm on a side. The height of the prism is 10 cm. The volume is _?_ cm3.
Answers
Answer:
70 cm^3
hope this helps
have a good day :)
Step-by-step explanation:
base=length and width so 7 x 10=70 cm3
Someone help me with this one
Answers
Answer:
Subtract 1/3 from 2/3 dont forget to add the variable h!
1/3h + 11 = 8
-11 -11
1/3h = -3
Now we multiply by 3 on both sides
H = -9
I’ll give brainly
Is the following statement
possible or impossible?
A triangle has side lengths of
3, 7, and 10
Answers
Answer:
Possible
Step-by-step explanation:
The rule for triangle side lengths is that the two shortest sides must add up to the longest side so it is possible because
3+7 = 10
Two short sides = The longest side
Answer:
possible
Step-by-step explanation:
3+7= 10
What is the simplified form of the rational expression below?
3^2 - 48/
2^2 + 8x
Answers
Solve for x solve for x please !!!
Answers
Answer:
cos(16°)•10=x
option one: 9.613
The vertices of rectangle ‘ABCD’ are A(3, 1), B(-5, 1),
C(-5, -3), and D. What are the coordinates of D?
- (3,-3)
-(-3,3)
-(3,3)
-(-3,-3)
Answers
Answer:
C (3;-3)
Step-by-step explanation:
when you put the points on the orthonormal, try to write the parallel of BD, passing through A. then the parallel of AB passing through D. you will detect that it's a rectangle that have 4 angles. which is correct
I hope you would try it on your paper and am glad I helped
i cant resolve this equation : 2x = -2x + 8, can you help me please
Answers
Answer:
x = 2
Step-by-step explanation:
OK so lets do it together.
2x = -2x + 8
Subtract 8 from both sides
2x - 8 = -2x
Add 2x to both sides
4x - 8 = 0
Add 8 to both sides
4x = 8
Divide each side by 4
x = 2
Check:
4 = -4 + 8
4 = 4
correct
If my answer is incorrect, pls correct me!
If you like my answer and explanation, mark me as brainliest!
-Chetan K
I’m burnt out please help!
Answers
Answer:
236+590=
Step-by-step explanation:
236
+590
700+120+6=820 ɨ tɦɨռҡ
Find the mean (average) of {22, 24, 13, 37, 20. 16}
Answers
Median- 21
Range- 24
Minimum- 13
Maximum- 37
A right triangle is shown below. What is the length of the side X, to the nearest tenth of a centimeter?
Answers
9×9+6×6
81+36
√117
10.816
nearest tenth=10.8cm
pls help asappp ill put u as brainlist! TYTY
Answers
= 24cm2
A store was trying to sell a bed set for 475$. After a while, they marked the price tag down 35%. If tax is 5% (of the sale price) how much would the bed cost
Answers
Answer:
$324.19
Step-by-step explanation:
According to the scenario, computation of the given data are as follows,
Price = $475
Price tag down = 35%
Tax = 5%
So, price after tag down = $475 - ( $475 × 35%)
= $475 - $166.25 = $308.75
Now, we calculate tax value after price tag down,
Tax value = $308.75 × 5% = $15.44
So, we can calculate the bed cost by using following formula,
Bed cost = Price after tag down + Tax value
= $308.75 + 15.44
= $324.19
Un cuerpo de 180 kg se debe lanzar hacia una distancia de 25 m. ¿Qué valor tiene el trabajo que se realiza al lanzarlo?
Answers
Answer:
45, 000 J o 45 KJ
Step-by-step explanation:
Recordemos que trabajo realizado = fuerza * distancia
En este caso, fuerza = peso del objeto
Por lo tanto, peso del objeto = 180 Kg * 10ms ^ 2 = 1800 N
Por eso;
Trabajo realizado = 1800 N * 25 m = 45, 000 J o 45 KJ
In a flower garden, there are 6 tulips for every 7 daisies. If there are 36 tulips, how many daisies are there? A. 42 B. 48 C. 44 D. 40
Answers
Answer:
Step-by-step explanation:
I think it's b
Please I need help asap
Answers
Answer:
area of a triangle
1/2 base ×height
1/2×15×8.5
=63.75cm ^2
Answer:
63.75cm^2 / square centimeters
Step-by-step explanation:
The area of a triangle is calculated by multiplying 1/2 times the base, times the height.
A = (1/2)(base)(height)
A = (0.5)(15)(8.5)
A =63.75
Find the distance x rounded to
the nearest tenth.
Answers
Answer:
[tex]x=0.1 ~ft[/tex]
Step-by-step explanation:
[tex]cot30=\frac{B}{H} =\frac{B}{H}[/tex]
[tex]\frac{\sqrt{3} }{2} =\frac{B}{H}=H=\frac{16}{\sqrt{3} }[/tex]
[tex]sin70=\frac{X}{H} =\frac{P}{H}[/tex]
[tex]sin70=\frac{x}{\frac{16}{\sqrt{3} } }[/tex]
[tex]x=\frac{\sqrt{3} }{16 ~sin70}[/tex]
[tex]=0.1152[/tex]
[tex]x=0.1[/tex]
----------------------
hope it helps
have a great day!!
Answer: 9.7
Step-by-step explanation: I got this question right
70+30 = 100
B = 180 - 100 - 20
B = 60°
80+20 = 100
C = 180 - 100 - 30
C = 50
DB/sin100 = 8/sin(60)
8*sin(100)/sin(60)
DB = 9.0973
DC/sin(30) = 8/sin(50)
8*sin(30)/sin(50)
DC = 5.22163
x = [tex]\sqrt{5.22163^{2} +9.0973^{2} -2*5.22163*9.0973*cos(80)[/tex]
x = 9.7
please. i am hanging on by a thread.
Answers
Answer:
x=6
Step-by-step explanation:
9(10)=15(×)
90=15×
90÷15=6
The lengths of the 2 diagonal of a rhombus are 24cm and 32cm what is the length of one side of the rhombus.
Answers
Answer:
[tex]height = \frac{24}{2} = 12 \: cm \\ adjacent = \frac{32}{2} = 16 \: cm[/tex]
We get a triangle of height 12 cm and adjacent 16 cm
[tex]side = \sqrt{ {12}^{2} + {16}^{2} } \\ = \sqrt{400} \\ = 20 \: cm[/tex]
Answer:
side=√(24/2)²+(32/2)²
=√12²+16²
=√400
= 20
A number is chosen at random from 6 to 25. Find the probability of selecting an even number or multiple of 3.
Answers
Answer:
17/25
Step-by-step explanation:
Probability calculates the likelihood of an event occurring. The likelihood of the event occurring lies between 0 and 1. It is zero if the event does not occur and 1 if the event occurs.
For example, the probability that it would rain on Friday is between o and 1. If it rains, a value of one is attached to the event. If it doesn't a value of zero is attached to the event.
even numbers between 6 and 25 = 6 8 10 12 14 16 18 20 22 24
multiples of 3 = 6 9 12 15 18 21 24
Prove the identity
sin(x) = cos(x)tan(x)
Answers
Answer:
Step-by-step explanation:
[tex]sin ~x=sin~x \times \frac{cos~x}{cos~x} =\frac{sin~x}{cos~x} \times cos ~x=tan~x*cos ~x[/tex]
what is the area?
A) 99 sq units
B) 132 sq units
C) 198 sq units
D) 264 sq units
Answers
Answer:
132 sq units
Step-by-step explanation:
Jorge's friend Kylie has a garden with 100 flowers in it. Kylie's garden contains tulips and daisies. Is it possible for Kylie's garden to have the same ratio of tulips to daisies as Jorge's garden? Explain why or why not.
Answers
Answer:
Yes, Kylie's can have the same ratio of tulips to daisies as that of Jorge
Step-by-step explanation:
Complete question
Jorge planted flowers in his garden. He planted one row of 12 tulips
and one row of 36 daisies. Jorge's friend Kylie has a garden with 100 flowers in it. Kylie's garden contains tulips and daisies. Is it possible for Kylie's garden to have the same ratio of tulips to daisies as Jorge's garden? Explain why or why not
Solution
Ratio of Tulip to daises in Jorge garden is 12:36 = 1:3
Here the common factor is 12 for numerator and denominator i.e 4 * 3 or 2, 2, 3
Given, Jorge's friend Kylie has a garden with 100 flowers, 100 is divisible by 4 but not 3.
Hence, if we take Ratio of Tulip to daises in Jorge garden as 3:9 (by only removing common factor 4), then the Ratio of Tulip to daises in Kylie garden will have the same ratio is that of Jorge'sgarden
HELP! Quick! Test! Will mark brainliest!
Part II: Using the variable you defined in Part I, write an expression to represent the
amount of money Sam will spend in one year (Sam's cost). (2 points)
Answers
Answer:
Number of wooden carving = a
Total amount Sam spend = 1,200 + 4a
Total revenue of Sam = 15a
Number of wooden carving make to earn profit $4,300 = 500 carvings
Step-by-step explanation:
Given:
Sales price of each wooden carving = $15
Fixed cost = $1,200
Variable cost = $4 for each
Find:
Number of wooden carving make to earn profit $4,300
Computation:
Part 1
Assume
Number of wooden carving = a
Part 2
Total amount Sam spend = 1,200 + 4a
Part 3
Total revenue of Sam = 15a
Part 4
Total profit of Sam = Total revenue of Sam - Total cost of Sam
4,300 = 15a - [1,200 + 4a]
4,300 = 15a - 1,200 - 4a
11a = 5,500
a = 5,500 / 11
Number of wooden carving make to earn profit $4,300 = 500 carvings