Question

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

Answer 1

It's A. log 55.25 / 3 log 6

Answer 2

Answer:

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

Step-by-step 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.

$6^{3x}=\frac{221}{4}$

Using division property of equality

$6^{3x}=55.25$

Taking log on both sides of equality

Then, we get

$3xlog6=log55.25$

Using property : $logb^x=xlogb$

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

Using division property of equality

Hence, option A is true.