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Question

# Which of the following statements is/are not true?

A
log23<log1210
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B
log65<log78
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C
log326<log29
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D
log1615<log1011>log76
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Solution

## The correct option is A log23<log1210A) log23<log1210log23=log3log2 as log3>log2⇒log3log2>1and log1210=log10log12as log12>log10⇒log10log12<1Hence, log23≮log1210B) log65<log78log65=log5log6 as log6>log5⇒log65<1log78=log8log7 as log7<log8⇒log78>1Hence, log65<log78C) log326<log29log29=3.17log326=2.96Hence, log326<log29D) log1615<log1011>log76log1615=log15log16 as log16>log15⇒log1615<1log1011=log11log10 as log11>log10⇒log1011>1log76=log6log7 as log7>log6⇒log76<1Hence, log1615<log1011>log76

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