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

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.