2log105 + log108 - (1/2)log104 = কত?

2log₁₀5 + log₁₀8 - (1/2)log₁₀4 = কত?

A 2

B 3

D 1

Solution

Correct Answer: Option A

2log₁₀5 + log₁₀8 - (1/2)log₁₀4
=log₁₀5² + log₁₀8 - (1/2)log₁₀(2²)
=log₁₀25 + log₁₀8 - log₁₀(2²)^1/2
=log₁₀25 + log₁₀8 - log₁₀2
=log₁₀{(25 × 8)/2}
=log₁₀100
=log₁₀10²
=2log₁₀10
=2 . 1
= 2

Solution

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