Question

a+b
1
=
If a2 + b2 = 3ab, show that log 55
(log a + log b).​

Answer 1

Answer:

ok

Step-by-step explanation:

can't tell

ok

ok

ok

okkkkk

Answer 2

Step-by-step explanation:

Given that,

a²+b²=3ab

then prove that

log (a+b)\√5=½(log a +log b)

given a²+b²=3ab...................(1)

on adding both sides 2ab and we get,

a²+b²+2ab=3ab+2ab

a²+b²+2ab=5ab

(a+b)²\(√5)²=ab

Taking log both sides and we get,

log (a+b)\√5)²=log(ab)

2log (a+b)\√5=log a+log b

since, (logxn=n log x

Therefore,

log (a+b)\√5=½(log a+log b)

Hence proved.

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