111. =log ab+ 1/log ab
= x + 1/x form
≥2 applying AM ≥ GM.
1) If a>1 , b>1 then show that the min value of log b a + log a b is 2.
2) Show that the least value of 2 log 100 a - log a 0.0001 for a >1 is 4.
3) If x,y,z are positive then show that the min value of
X logy - logz + Y logz- logx +Z logx-logy is 3.
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