Question

If 2^5x/2^x=5√32 then find the value of x

Answer 1

Answer:

$\frac{1}{4}$

Step-by-step explanation:

$\frac{ {2}^{5x} }{ {2}^{x} } = \sqrt[5]{32}$

${2}^{5x - x} = \sqrt[5]{ {2}^{5} }$

${2}^{4x} = {2}^{ \frac{5}{5} }$

${2}^{4x} = {2}^{1}$

Now equating the exponents,

$4x = 1$

$x = \frac{1}{4}$

Answer 2

Step-by-step explanation:

sorry for the bad handwriting hope it help