Question

If 4^x X 2^3 = 1, then the value of x is what?
2/3
-3/4
-3/2
1
❗DON'T ANS UNNECESSRILY❗​

Answer 1

SOLUTION :

$\bull \: \: \: \: \: \: \: { \underline{ \underline{ \sf {4}^{x} \times {2}^{3} = 1 }}}\\ : \implies \: \sf {4}^{x} = \frac{1}{ {2}^{ 3} } \\ : \implies \sf \: {2}^{2x} = {2}^{ - 3} \\ \sf : \implies \: 2x = - 3 \\ \sf : \implies \boxed{ \sf{ x = - \frac{ 3}{2} }}$