Math, asked by aditya2853, 7 months ago

if log ( a+b/√6) = 1/2(log a+ log b) then find a/b+b/a?

Answers

Answered by Bhosale2002
1

Answer:

4

Step-by-step explanation:

we have given,

log(a+b/6^1/2) = 1/2(loga+ logb)

log(a+b/ 6^1/2) = (loga+ log b)^1/2

log(a+b/6^1/2) = log(a+b)^1/2

therefore

a+b/6^1/2 = (a+b)^1/2

a+b = [(a+b)^1/2][6^1/2]

take square on both sides

a^2 + b^2 +2ab = 6ab

a^2 +b^2 = 4ab

a/b + b/a = 4

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