Question

In `4^(2x)=16`, how do we solve for x?

Answer 1

`color(green)(x=1)`

Explanation:

Since
`color(white)("XXX")16=4^2`

`4^(2x)=16` implies `4^(2x)=4^2`

and therefore
`color(white)("XXX")2x=2`
or
`color(white)("XXX")x=1`