Prove that
log a+b/5= 1/2 (log a+ log b) if a2+b2=23ab
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Step-by-step explanation:
a
2
+b
2
+2ab=23ab+2ab
(a+b)
2
=25ab
taking square root
a+b=5
ab
Taking log
log(a+b)=log5+log
ab
log(a+b)−log5−log
ab
=0
log[
5
(a+b)
]−
2
1
logab=0
Applying multiplication property
log[
5
a+b
]−
2
1
(log(a)+log(b))=0
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