Question Solve the exponential equation $5^{x}=\frac{1}{625}$ to find the value of $x$.

Studdy Solution
Since the bases are the same and the equation is an equality, we can deduce that the exponents must be equal. Set the exponents equal to each other.
$$x = -4$$
The solution to the equation $5^{x}=\frac{1}{625}$ is $x = -4$.