Change the exponential statement to an equivalent statement involving a logarithm.
\[
625=5^{4}
\]
Answer
Final Answer: The equivalent logarithmic statement of the given exponential statement \(625 = 5^4\) is \(\boxed{\log_5 625 = 4}\).
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 \(\boxed{\log_5 625 = 4}\).
