Question

How do you solve `10( 2^ { x } ) + 9= 600`?

Answer 1

The goal is to get `x` isolated.

First subtract 9 from both sides to get rid of 9 from the left side

`10(2^x)=600-9`

Simplify

`10(2^x)=591`

Divide both sides by 10 to get `2^x` isolated

`2^x=59.1`

In order to get rid of an exponent one must `log` both sides of the equation

`xlog(2)=log(59.1)`

Then divide each side by `log(2)` to isolate `x`

`x=log(59.1)/log(2)`

Simplify

`x=5.885`