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The sum of two numbers a and b is √18 and their difference is √14 . The value of logb a is equal to (A) – 1 (B) 2 (C) 1 (D) 1/2

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The sum of two numbers a and b is √18 and their difference is √14 . The value of logb a is equal to 

(A) – 1 (B) 2 (C) 1 (D) 1/2

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1 Answer

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Best answer

Correct option(A)

Explanation:

We have, 

a + b = √18 

a – b = √14 

squaring & subtract, we get 4ab = 4 

=> ab = 1 

Hence number are reciprocal of each other => logb a = – 1.

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