If log

_{7}log_{5}(√(x+5) + √x) = 0, what is the value of x?
(1)2 (2)3 (3)4 (4)5

**For answer click on "Read more" below:**
Solution:

It’s a simpler one. Checking
answer options will do here.

Considering √(x+5), for this 4 is looking suitable as √(4+5)
= √9 = 3

Hence check for x =4 => log

_{7}log_{5}(√(4+5) + √4) = log_{7}log_{5}(3 + 2)
= log

_{7}log_{5}(5) = log_{7}1 = 0, satisfied..**Answer (3)**
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