If log 4 5- a and log 5 6- b- then log 3 2 is equal toA- 2 ab -1B- 1-2 a p-1C- 1-2 a1-1D- 1-2 b -1

The correct option is B 1/2ab 1ab = log_4 5. log_5 6=log_4 6=1/2log_2 6 ab=1/2(1+log_2 3)⇒ 2ab 1 =log_2 3 ∴ log_3 2=1/2ab 1 ...

If log 4 5= a...

Question

If $l o g_{4}$ 5 = a and $l o g_{5}$ 6 = b, then $l o g_{3}$ 2 is equal to

\frac{1}{2 a + 1}

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\frac{1}{2 b + 1}

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2 a b + 1

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\frac{1}{2 a b - 1}

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l o g_{4} 5

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l o g_{4} 5 = a

l o g_{5} 6 = b

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