Use a graph to find an approximate solution to the equation. Round to the nearest thousandth.
-$$6 ^ { 3 x } = 8 ^ { x + 1 }$$
A) -7.228
B) 1.161
C) 0.631
D) 2.161

Question

Quizplus · Accepted Answer

Using a graphing calculator or an online tool, we can plot the graphs of $y=6^{3x}$ and $y=8^{x+1}$ and see where they intersect. One such tool is Desmos.

We see that they intersect at approximately $x=0.631$. Rounding to the nearest thousandth gives us $x \approx 0.631$.

Therefore, the answer is Choice C.

Use a Graph to Find an Approximate Solution to the Equation