Question

question 18 (mandatory) (1 point) if (3^{x - 1}=\frac{1}{3}), then (x) is equal to a) 1 b) 0 c) 3 d) 2

Explanation:

Step1: Rewrite the right - hand side

We know that $\frac{1}{3}=3^{- 1}$, so the equation $3^{x - 1}=\frac{1}{3}$ can be rewritten as $3^{x - 1}=3^{-1}$.

Step2: Equate the exponents

Since the bases are the same (both are 3), we can set the exponents equal to each other. That is, $x - 1=-1$.

Step3: Solve for x

Add 1 to both sides of the equation $x - 1=-1$. We get $x=-1 + 1=0$.

Answer:

B. 0