Question

4^.2x = 2/3

Answer 1

\( 4^{0.2x} = \cfrac{2}{3} \)?

Answer 2

So, we're given:
\[4^{x/5}=2/3\]

We could start by raising both sides to the fifth power. This will simplify our left exponent to just x:
\[4^{x}=(2/3)^{5}=(32/243)\]

Could you try solving from here? If you need more help feel free to ask.

Answer 3

bear in mind the logarithmic cancellation rul of => \(\large log_a a^x = x\)