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What is the exact value of x
4*6^3x=221

What is the exact value of x 4*6^3x=221-example-1

2 Answers

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It's A. log 55.25 / 3 log 6
User Matt Sach
by
8.2k points
2 votes

Answer:

A.
x=\frac}log55.25}{3log6}

Explanation:

We are given that


4\cdot 6^(3x)=221

We have to find the exact value of x.

To find the exact value of x we will take log on both sides.


6^(3x)=(221)/(4)

Using division property of equality


6^(3x)=55.25

Taking log on both sides of equality

Then, we get


3xlog6=log55.25

Using property :
logb^x=xlogb


x=(log55.25)/(3log6)

Using division property of equality

Hence, option A is true.

User Mark Chorley
by
7.4k points

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