Discussion :: Logarithm
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If log10 5 + log10 (5x + 1) = log10 (x + 5) + 1, then x is equal to:
Answer : Option B
Explanation :
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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