Question

How do you solve this logarithmic equation?

`7-log_(3)(8x)=2`

Answer 1

`x=243/8`

Explanation:

Using the `color(blue)"law of logarithms"`

`color(red)(bar(ul(|color(white)(2/2)color(black)(log_b x=nhArrx=b^n)color(white)(2/2)|)))`

Isolate `log_3(8x)`

`rArr-log_3(8x)=2-7=-5`

`rArrlog_3(8x)=5`

Using the above law.

`8x=3^5=243`

`rArrx=243/8`