CSE 2321 Lecture 22: Lecture 22

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LECTURE 22
Clog ntog nThe ne ntogn
Nh2 no n22 3nnn
Ex Show that logon OCn tog n
Pf If nzlnnn1Ch D3Ga
hNNNinn
ntimes
znn
Then login Elog nlogin
ilogon 0CnlogD
Recall
AEB toga log B
log AP plogA
Blog'S A
in particular 210g AA
log ABlog AlogB
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Ex Show that Fog s0Gt
Pf Cfn og n2og nz's1087 2login
h2zTn
52109 hOCfn
Ex Prove that nf 7h7 10h5 2h4 3h2 17
noo
Pf To prove the result we show that
fcn OChDand fCn nna
lfnzlwe have
n87h7 10h5 2h4 t3h47
h8t7n't t3h2 In8t7n3h8
11h8
on
fCn 0Cns c
Prove that for mens by proving
Cns fCn for some C0
for all nzno
Since Fcn n87h7 10h5 2h4 3h2 17
Remove positive Tns for y
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