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Question

Find the value of x for which 52x ÷ 5−3 = 55.

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Solution

We have:
5^{2x}div 5^{-3}=5^5
5^{2x+3}=5^5 ---> a^mdiv a^n=a^{m-n}
2x+3=5
2x=2
x=1

Hence, x is 1.

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