Easy Tutorial
For Competitive Exams

Which of the following statements is not correct?

log(2×4×6)= log 2 + log 4 + log 6
$log_{5}1=0$
log(3+4) = log(3 × 4)
$log_{5}5 = 1$
Explanation:

$Log_{b}b$ = 1. $Hence \:log_{5}5$ = 1

$Log_{b}1$ = 0. $Hence\: log_{5}1$ = 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

Share with Friends
Privacy Copyright Contact Us