Solve the problem.
-Suppose that $f ( x ) = 3 ^ { x } + 1$. If $f ( x ) = 1 / 244$, what is $x$ ?
A) 5
B) 1
C) $- 1$
D) $- 5$

Question

Quizplus · Accepted Answer

Given $f(x) = 3^x + 1$ and $f(x) = \frac{1}{244}$, setting the equations equal gives $3^x + 1 = \frac{1}{244}$. Subtracting 1 from both sides gives $3^x = \frac{1}{244} - 1 = -\frac{243}{244}$. Recognizing that $243 = 3^5$, we can write $-\frac{243}{244} = -3^5$, leading to $3^x = -3^5$. Since the bases are the same, $x = -5$.

Solve the Problem f(x)=3x+1f ( x ) = 3 ^ { x } + 1f(x)=3x+1

Solve the Problem $f ( x ) = 3 ^ { x } + 1$