Exponent Value

What is the integer n for which 5^n+5^n+5^n+5^n+5^n=5^{25}?
Source: NCTM Mathematics Teacher, October 2006

Solution
5^n+5^n+5^n+5^n+5^n=5^{25}
5^n(1+1+1+1+1)=5^{25}
5^n(5)=5^{25}
5^{n+1}=5^{25}
n+1=25
n=24

Answer: 24

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About mvtrinh

Retired high school math teacher.
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