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If a, b, c are consecutive positive inte...

If a, b, c are consecutive positive integers and log (1+ac) = 2K, then the value of K is

A

log b

B

log a

C

2

D

1

Text Solution

Verified by Experts

The correct Answer is:
A
Let ` a = x - 1, b = x, c = x+1`
Now `log(1+ac)=log [1+(x-1)(x+1)]`
` = log x^(2) = 2 log x = 2 log b`
` rArr K = log b`
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CENGAGE PUBLICATION-LOGARITHM AND ITS PROPERTIES-Exercises (Single Correct Answer Type)
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