Question

question 24 (mandatory) (1 point)
if 3^{x - 1}=\frac{1}{3}, then x is equal to
a) 1
b) 0
c) 2
d) 3

Explanation:

Step1: Rewrite the right - hand side

Since $\frac{1}{3}=3^{- 1}$, the equation $3^{x - 1}=\frac{1}{3}$ can be rewritten as $3^{x - 1}=3^{-1}$.

Step2: Equate the exponents

If $a^m=a^n$, then $m = n$ for $a>0,a
eq1$. Here $a = 3$, 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:

B. 0