Question

if 8^x=64÷2^x then x=________​

Answer 1

Answer:

$\frac{3}{2}$

Step-by-step explanation:

Convert them in 2 ' s powers

${2}^{3x} = \frac{ {2}^{6} }{ {2}^{x} } \\ {2}^{3x + x} = {2}^{6} \\ \\ {2}^{4x} = {2}^{6}$

Compare

$4x = 6 \\ x = \frac{3}{2}$