2log105 + log1036 - log109 =?

2log₁₀5 + log₁₀36 - log₁₀9 =?

A 2

B 100

C 37

D 4.6

Solution

Correct Answer: Option A

2log₁₀5 + log₁₀36 - log₁₀9

= log₁₀5² + log₁₀6²- log₁₀3²
[ যেহেতু, plog_kM = log_kM^p]
= log₁₀ {(5²×6²)/3²}
[যেহেতু, log_kM + log_kN = logk(MN), log_kM – log_kN = log_k(M/N)]

= log₁₀{(25 × 36)/9}

= log₁₀100

= log₁₀10²

= 2log₁₀10

= 2.1 [log_aa=1]

= 2

Solution

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