Latest GRE Aptitude Question SOLUTION: If 5^(5x)*(25) = 5^n , where n and x are integers, what is the value of n in terms of x ? (A) 5x + 1 (B) 5x + 2 (C) 5x + 5 (D) 10x (E) 10x + 2

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(#M40151658) GRE Numerical Ability question Integers Keep an EYE

If 5^(5x)*(25) = 5^n , where n and x are integers, what is the value of n in terms of x ?
(A) 5x + 1
(B) 5x + 2
(C) 5x + 5
(D) 10x
(E) 10x + 2

Asked In GRE Aashu (9 years ago)

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Jake Johnson  (8 years ago)

First, we need to recognize that 25 is 5^2.

We then can rewrite it as: 5^(5x) * 5^2 = 5^n

When you multiply a number to the power of something with the same number to another power, you can combine them as the number to the power of the original powers ADDED:

5^(5x+2) = 5^n

Then do a logarithm on each side, and you will get 5x+2 = n.

So the answer here is (B) : 5x + 2

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amitabha ghosh  (7 years ago)

5^5x * 5^2 = 5^n
i.e 5^5x+2 = 5^n
so, 5x+2=n

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