CA Foundation · Quantitative Aptitude · Ratio and Proportion, Indices and Logarithms
If log₁₀ 2 = 0.3010, the value of log₁₀ 5 is:
log₁₀ 5 equals 0.6990. Writing 5 as 10 divided by 2, the quotient law gives log 10 minus log 2, which is 1 − 0.3010 = 0.6990. Doubling log 2 would instead give log 4, which is a different number.
- A0.6990Correct
- B0.3010
- C0.6020
- D0.7010
Explanation
5 = 10/2, so log₁₀ 5 = log₁₀ 10 − log₁₀ 2 = 1 − 0.3010 = 0.6990. The option 0.6020 is just 2 × 0.3010, which is log₁₀ 4, not log₁₀ 5.
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