Solve the exponential equation by expressing each side as a power of the same ba

aflacatn

aflacatn

Answered question

2021-09-11

Solve the exponential equation by expressing each side as a power of the same base and then equating exponents.
52x=1125

Answer & Explanation

Adnaan Franks

Adnaan Franks

Skilled2021-09-12Added 92 answers

We have to solve the equation:
52x=1125
We know the exponents rule,
amn=aman
am×an=am+n
am=1am
Rewriting the equation,
52x=1125
=15×5×5
=153
=53
So we have from above result,
52x=53
We know that if am=an then m=n
Therefore for the given condition we can write,
2x=3
x=32
x=5
x=5
Hence, solution of the equation is x=5.

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