Solve for $x$.
\[
125=25^{x-5}
\]

Answer

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Answer

Simplify to get the final answer: $x = \boxed{6.5}$

Steps

Step 1 ：Given the equation $125=25^{x-5}$

Step 2 ：Rewrite the equation in logarithmic form as $x - 5 = \log_{25}{125}$

Step 3 ：Solve for $x$ to get $x = \log_{25}{125} + 5$

Step 4 ：Substitute the values into the equation to get $x = 1.5 + 5$

Step 5 ：Simplify to get the final answer: $x = \boxed{6.5}$