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Question

If log45=a and log56=b, then log32 equal to

A
12a+1
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B
12b+1
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C
2ab+1
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D
12ab1
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Solution

The correct option is D 12ab1
log45=a4a=5log56=b5b=66=(4a)b=22ab3=22ab23=22ab1
Let log32=x3x=2 (1)3x=2(2ab1)x (2)
From (1) and (2)(2ab1)x=1x=12ab1

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