Solve the problem.
-Suppose that $\mathrm { f } ( \mathrm { x } ) = 3 ^ { \mathrm { x } } + 1$. If $\mathrm { f } ( \mathrm { x } ) = 1 / 244$, what is $\mathrm { x }$ ?
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 to each other gives $3^x + 1 = \frac{1}{244}$. Subtracting 1 from both sides gives $3^x = \frac{1}{244} - 1 = \frac{-243}{244}$. Recognizing that $243 = 3^5$ and the negative sign indicates an inverse, $3^x = 3^{-5}$, thus $x = -5$.

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

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