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aev [14]
3 years ago
7

If (x+y)^2=125xy,show that, 2 log (x+y) = 3 log 5+log x+ log y​

Mathematics
1 answer:
Brums [2.3K]3 years ago
7 0

Formulas used :

loga^ x = x  \ log a

logab = log a + logb

Steps :

(x+y)^2 = 125xy\\\\log(x+y)^2 = log(125xy)\\\\2log(x+y) = log 125 + log x + log y\\\\2log(x+y) = log 5^3+ log x + log y\\\\2log(x+y) = 3 log 5 + log x + log y\\\\

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