Question

Solve the exponential equation. (½)x = 32

Answer 1

Answer:

x = - 5

Step-by-step explanation:

Using the rule of exponents

• $a^{-m}$ ⇔ $\frac{1}{a^{m} }$

Given

$(1/2)^{x}$ = 32

$\frac{1}{2^{x} }$ = 32

$2^{-x}$ = $2^{5}$

Since the bases are equal, both 5, equate the exponents

Hence x = - 5