Use a graph to find an approximate solution to the equation. Round to the nearest thousandth.
-$$e ^ { 8 x } e ^ { 7 x } = e ^ { 7 }$$
A) -1.443
B) 2.377
C) 0.467
D) 0.594

Question

Quizplus · Accepted Answer

Combining the exponents on the left side gives $e^{8x + 7x} = e^{7}$, simplifying to $e^{15x} = e^{7}$. Taking the natural logarithm (ln) of both sides to solve for x gives $15x = 7$, hence $x = \frac{7}{15}$, which is approximately 0.467.

Use a Graph to Find an Approximate Solution to the Equation