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Logarithm

Q1: If log10 5 + log10 (5x + 1) = log10 (x + 5) + 1, then x is equal to:

A 1

B 3

C 5

D 10

ANS:B - 3

log10 5 + log10 (5x + 1) = log10 (x + 5) + 1  log10 5 + log10 (5x + 1) = log10 (x + 5) + log10 10  log10 [5 (5x + 1)] = log10 [10(x + 5)]  5(5x + 1) = 10(x + 5)  5x + 1 = 2x + 10  3x = 9  x = 3.



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