Change the exponential statement to an equivalent statement involving a logarithm. \[ 625=5^{4} \]

Step 1 ：Given the exponential statement \(625=5^{4}\).

Step 2 ：Convert this to an equivalent statement involving a logarithm.

Step 3 ：The general form of an exponential equation is \(b^y = x\), which can be rewritten in logarithmic form as \(\log_b x = y\).

Step 4 ：In this case, \(b = 5\), \(y = 4\), and \(x = 625\).

Step 5 ：So, the equivalent logarithmic statement would be \(\log_5 625 = 4\).

Step 6 ：Final Answer: The equivalent logarithmic statement of the given exponential statement \(625 = 5^4\) is \(\boxed{\log_5 625 = 4}\).