Solve the exponential equation by taking the logarithm of both sides. $$e ^ { 6 y } = 40$$
A) $\left\{ \frac { e ^ { 6 } } { 40 } \right\}$
B) $\left\{ \frac { \ln 40 } { 6 } \right\}$
C) $\left\{ \frac { 40 } { e ^ { 6 } } \right\}$
D) $\{ e \}$

Question

Quizplus · Accepted Answer

To solve the equation $e^{6y} = 40$, take the natural logarithm (ln) of both sides to get $6y = \ln(40)$. Then, solve for $y$ by dividing both sides by 6, resulting in $y = \frac{\ln(40)}{6}$.

Solve the Exponential Equation by Taking the Logarithm of Both e6y=40e ^ { 6 y } = 40e6y=40

Solve the Exponential Equation by Taking the Logarithm of Both $e ^ { 6 y } = 40$