Question Find the value of $a$ that satisfies the equation $6^{7}=a$.

Studdy Solution
The equation $7 \cdot \ln(6) = \ln(a)$ is equivalent to the original equation $6^{7}=a$. This is because taking the natural logarithm is a reversible operation, and we can exponentiate both sides to return to the original equation if needed.
The equivalent equation to $6^{7}=a$ is $7 \cdot \ln(6) = \ln(a)$.