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Bas_tet [7]
2 years ago
9

4^(4x-1)=32 How do I solve this problem? Do I do 4 to the fourth power first?

Mathematics
2 answers:
yKpoI14uk [10]2 years ago
7 0

Answer:

\large\boxed{x=\dfrac{7}{8}}

Step-by-step explanation:

4^{(4x-1)}=32\\\\(2^2)^{4x-1}=2^5\qquad\text{use}\ (a^n)^m=a^{nm}\\\\2^{2(4x-1)}=2^5\iff2(4x-1)=5\ \ \text{use the distributive property}\ a(b+c)=ab+ac\\\\(2)(4x)+(2)(-1)=5\\\\8x-2=5\qquad\text{add 2 to both sides}\\\\8x=7\qquad\text{divide both sides by 8}\\\\x=\dfrac{7}{8}

eduard2 years ago
3 0
This is the answer to the problem

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7⁄8 = ?⁄48<br><br>A.13<br>B.1<br>C:6<br>D:42
choli [55]
The answer is d.42 because since the denominator(8) is being multiply by 6 to get 48, you should multiply 7 by 6 too to get the answer 42. And so the answer is 42/48.
5 0
3 years ago
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How does 3.1416 come​
e-lub [12.9K]

Answer:

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3 0
2 years ago
PLEASE HELP! Find the height of a cylinder with a surface area of 108 pi square meters. The radius of the cylinder is twice the
Naily [24]
Assuming the cylinder is closed at both ends 
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now h = r/2 so we have:-

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7 0
3 years ago
Leah wrote 2 different fractions with the same denominator. both fractions were less than 1. can their sum equal 1? explain
grandymaker [24]
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8 0
3 years ago
Use the law of cosines to find the value of cos theta. round your answer to two decimal places
REY [17]

<u>Answer:</u>

The correct answer option is B. 0.21.

<u>Step-by-step explanation:</u>

We are to find the value of cos \theta using the law of cosines.

We know that the formula of the cosine rule is given by:

c ^ 2 = a ^ 2 + b ^ 2 - 2 a b cos C

So substituting the given values in the above formula:

10.9 ^ 2 = 5.8 ^ 2 + 10.5 ^ 2 - 2 (5.8) (10.5) cos C

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118.81 - (33.64+110.25) = -121.8cosC

118.81-143.86=-121.8cosC

cosC=\frac{-25.05}{-121.8}

cos C = 0.21

7 0
3 years ago
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