Question

How do you solve `1/2log_6(16x)=3`?

Answer 1

`x=2916`.

Explanation:

`1/2log_2(16x)=3`

`rArr log_6(16x)=6`

`rArr 16x=6^6=2^6*3^6`

`rArr x=(2^6*3^6)/16=(2^6*3^6)/2^4=2^2*3^6`

`rArr x=4*729=2916`.