Question

Solve for x. 2^x=1/16 ​

Answer 1

Answer:

x = - 4

Step-by-step explanation:

Using the rule of exponents

$a^{-m}$ ⇔ $\frac{1}{a^{m} }$

note that 16 = $2^{4}$

Then

$2^{x}$ = $\frac{1}{2^4}$ = $2^{-4}$

Since the bases on both sides are equal, both 2, then equate exponents

x = - 4