Question

If
`$4^x = 3$`, what is
`$4^(2x-2)?$`

Answer 1

`4^x=3 \\\\[-0.35em] ~\dotfill\\\\ 4^(2x-2)\implies 4^(2x)\cdot 4^(-2)\implies (4^x)^2\cdot \cfrac{1}{4^2}\implies \cfrac{(4^x)^2}{16}\implies \cfrac{(3)^2}{16}\implies \cfrac{9}{16}`