Question

2^x = 3√32 then find the value of x

Answer 1

Answer:

${2}^{x} = \sqrt[3]{32} \\ {2}^{x} = {32}^{ \frac{1}{3} } \\ {2}^{x} = { ({2}^{5}) }^{ \frac{1}{3} } \\ {2}^{x} = {2}^{ \frac{5}{3} } \\ x = \frac{5}{3}$