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Question

If log72=m then log4928 is equal to

A
2(1+2m)
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B
1+2m2
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C
21+2m
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D
1+m
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Solution

The correct option is B 1+2m2
We have,
log72=m ........(1)

Since,
log4928

log7228

12log728 loganb=1nloga=b

12log7(4×7)

12log74+12log77 loga(mn)=logam+logan

12log722+12×1

22log72+12 logamn=nlogam

log72+12

m+12 From equation (1)

2m+12

Hence, this is the answer.

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