Question

question 10 (mandatory) (1 point) if 2^{x - 1}=\frac{1}{16}, then x is equal to a) - 3 b) - 5 c) 5 d) - 4

Explanation:

Step1: Rewrite $\frac{1}{16}$ as a power of 2

Since $16 = 2^4$, then $\frac{1}{16}=2^{- 4}$.

Step2: Set the exponents equal

We have $2^{x - 1}=2^{-4}$. So, $x - 1=-4$.

Step3: Solve for x

Add 1 to both sides: $x=-4 + 1$.
$x=-3$

Answer:

A. -3