Question

question 4 (mandatory) (1 point) if 3^{x - 1}=\frac{1}{3}, then x is equal to a) 3 b) 2 c) 0 d) 1

Explanation:

Step1: Rewrite $\frac{1}{3}$ as a power of 3

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. So $x - 1=-1$.

Step3: Solve for x

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

Answer:

c) 0