Question

solve that question which is show Or colour in yellow. how ​

Answer 1

Answer:

$4^{x} -4^{x-1}=24$

Taking $4^{x-1}$ common,

$4^{x-1}(4-1)=24\\4^{x-1}(3)=24\\4^{x-1}=8\\4^{x-1}=2^{3} \\2^{2x-2}=2^{3}$

Equating the powers,when bases are same

2x-2=3

x=5/2

Therefore,$2x^{x}=5^{5/2}$

=$25\sqrt{5}$