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if 16^(x)=4 and 5^(x+y)=625, then y=...

if `16^(x)=4 and 5^(x+y)=625`, then y=

A

1

B

2

C

`7/2`

D

5

Text Solution

Verified by Experts

The correct Answer is:
C
Since the `(1)/(2)` powerr is the square root, `x=(1)/(2)` because the square root of 16 is 4.
Since `5^(4)=625,x+y=4`, so that `y=4-(1)/(2)=(7)/(2)`.
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