Which of the following statements is not correct A log 2 times 4 times 6 log 2 log 4 log 6 B log51 0...........

Quantitative Aptitude (CDS) Logarithm

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Which of the following statements is not correct?

A. log(2×4×6)= log 2 + log 4 + log 6

B. log₅1 = 0

C. log(3+4) = log(3 × 4)

D. log₅5 = 1

log(2×4×6)= log 2 + log 4 + log 6

log₅1 = 0

log(3+4) = log(3 × 4)

log₅5 = 1

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Explanation:

Log_bb = 1. Hence log₅5 = 1

Log_b1 = 0. Hence log₅1 = 0

log(a × b) = log a + log b
similarly, log(a × b × c) = log a + log b + log c
Hence log(2×4×6) = log 2 + log 4 + log 6

log(3+4) = log(3 × 4) is wrong
LHS = log(3+4) = log 7
RHS = log(3 × 4) = log(12)
log 7 ≠ log 12