1.

If `log((a+b)/(6))=(1)/(2)(loga+logb)`, then `(a)/(b) + (b)/(a) `= ______.A. 30B. 31C. 32D. 34

Answer» Correct Answer - D
(i) Use, log a + log b = log ab. Remove the logarithms on both sides and evaluate `(a + b)^(2)`.
(ii) Use m (log a + log b) = log `(ab)^(m)`.
(iii) Eliminate logarithms on both sides and obtain equations in terms of a and b.
(iv) Divide both sides of the equation with ab and obtain the required answer.


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