If log 10 2 = 0.3010, the value of log 10 80 is: Options: A . &nbsp1.6020 B . &nbsp1.9030 C . &nbsp3.9030 D . &nbspNone of these

Answer: Option B log 10 80 = log 10 (8 x 10) = log 10 8 + log 10 10 = log 10 (2 3 ) + 1 = 3 log 10 2 + 1 = (3 x 0.3010) + 1 = 1.9030.

If log10 2 = 0.3010, the value of log10 80 is:

Question

If log₁₀ 2 = 0.3010, the value of log₁₀ 80 is:

Options:

A . 1.6020

B . 1.9030

C . 3.9030

D . None of these

Answer: Option B

log₁₀ 80
= log₁₀ (8 x 10)
= log₁₀ 8 + log₁₀ 10
= log₁₀ (2³ ) + 1
= 3 log₁₀ 2 + 1
= (3 x 0.3010) + 1
= 1.9030.

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