Solve each equation.
$48=6e^{4k}$

Verified step by step guidance

1. Start by isolating the exponential term. Divide both sides of the equation by 6 to get: \( e^{4k} = \frac{48}{6} \).
2. Simplify the right side of the equation: \( e^{4k} = 8 \).
3. To solve for \( k \), take the natural logarithm of both sides: \( \ln(e^{4k}) = \ln(8) \).
4. Use the property of logarithms that \( \ln(e^x) = x \) to simplify the left side: \( 4k = \ln(8) \).
5. Finally, solve for \( k \) by dividing both sides by 4: \( k = \frac{\ln(8)}{4} \).