যদি log105 + log10(5x+1) = log10(x+5) + 1 হয় তাহলে x এর মান -

যদি log₁₀5 + log₁₀(5x+1) = log₁₀(x+5) + 1 হয় তাহলে x এর মান -

A 1

B 3

C 5

D 10

Solution

Correct Answer: Option B

⇒ log₁₀5 + log₁₀(5x+1) = log₁₀(x+5) + 1
⇒ log₁₀5 + log₁₀(5x+1) = log₁₀(x+5) + log₁₀10
⇒ log₁₀[5(5x+1)] = log₁₀[10(x+5)]
⇒ 5(5x+1) = 10(x+5)
⇒ 5x+1 = 2x+10
⇒ 3x = 9
⇒ x = 3

Solution

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