Question

find value of x for which 2^3x =log16base2

Answer 1

Hey user

Here is your answer :-

${2}^{3x} = log_{2}(16) \\ \\ {2}^{3x} = log_{2}( {2}^{4} ) \\ \\ {2}^{3x} = 4 log_{2}(2) \\ \\ {2}^{3x} = 4 \\ \\ {2}^{3x} = {2}^{2} \\ \\ 3x = 2 \\ \\ x = \frac{3}{2}$

thank you.