Question

How do you solve `2^(3x-2)=4^x`?

Answer 1

`x=2`

Explanation:

`2^(3x-2) =4^x`

`color(red)(2)^(3x-2)=color(red)(2)^(2x)`

`"equation has the same base value"`

`3x-2=2x`

`3x-2x=2`

`x=2`