(2) Prove thatlog( + √
2 − 1) + log ( − √
2 − 1) = 0
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Arithmetic Mean of log
π
2,log
2
π is
2
log
π
2+log
2
π
Geometric Mean of log
π
2,log
2
π is
log
π
2log
2
π
Since, A.M≥G.M.
2
log
π
2+log
2
π
≥
log
π
2log
2
π
=1 (∵log
a
b=
log
b
a
1
)
2
log
π
2+log
2
π
≥1
⇒log
π
2+log
2
π≥2
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