Question

4 power x - 4 power x - 1 = 24 find (2x) power x

Answer 1

${4}^{x} - {4}^{x - 1} = 24 \\ {4}^{x} (1 - \frac{1}{4} ) = 24 \\ {4}^{x} = \frac{24 \times 4}{3} \\ \\ {4}^{x} = 32 \\ {2}^{2x} = {2}^{5} \\ x = \frac{2}{5}$
Now
${(2x)}^{ \frac{2}{5} } \\ = {( \frac{4}{5}) }^{ \frac{2}{5} }$

Answer 2

(4/5) power2/5
it helps u