Solve the exponential equation. Express the solution set in terms of natural logarithms.
-$$7 ^ { x } = 15$$
A) $1.39$
B) $5.27$
C) $0.72$
D) $0.99$

Question

Quizplus · Accepted Answer

Taking the natural logarithm of both sides of the equation gives:$$\ln(7^x) = \ln(15)$$Using the power rule of logarithms, we can rewrite the left side of the equation as:$$x \ln(7) = \ln(15)$$Dividing both sides of the equation by $\ln(7)$, we get:$$x = \frac{\ln(15)}{\ln(7)} \approx 1.39$$Therefore, the solution to the exponential equation is $x = 1.39$.

Solve the Exponential Equation 7x=157 ^ { x } = 157x=15

Solve the Exponential Equation $7 ^ { x } = 15$