If , calculate the value of n.
Correct Answer :
6
Solution :
The correct answer is 6.
To find the value of n, we can express all terms as powers with base 5.
First, write 125 as a power of 5:
Substitute this into the expression :
Using the power of a power rule of exponents, :
Now substitute back into the given equation:
Using the quotient rule of exponents, :
Equating the exponents since the bases are identical gives:
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