Question

4 power X -4 power x-1=24,then (2X) power X equal​

Answer 1

Answer:

$( {2x)}^{x} = {5}^{x}$

Step-by-step explanation:

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