If log 10 5 + log 10 (5 x + 1) = log 10 ( x + 5) + 1, then x is equal to: Options: A . &nbsp1 B . &nbsp3 C . &nbsp5 D . &nbsp10

Answer: Option B log 10 5 + log 10 (5 x + 1) = log 10 ( x + 5) + 1 log 10 5 + log 10 (5 x + 1) = log 10 ( x + 5) + log 10 10 log 10 [5 (5 x + 1)] = log 10 [10( x + 5)] 5(5 x + 1) = 10( x + 5) 5 x + 1 = 2 x + 10 3 x = 9 x = 3.

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

Question

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

Options:

A . 1

B . 3

C . 5

D . 10

Answer: Option B

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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