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E L-LOVELY-H math4-1 IInd 21-10-11 IIIrd 24-1-12 IVth 21-4-12 Vth 20-8-12 VIth 10-9-12
noEPk;soh dk rfDs
B'N
;ktXkBh log (a + b) ≠ log a + log b
x
x
fJ; soQK i/eo y = x + (sin x) cos x j't/, sK log y ≠ log x + log (sin x) cos x H
nfij/ gqPBK ftZu jo gd dk fBy/VB r[DKe tZy^tZy gsk eoBk gJ/rk. fco T[; s'A pknd
;z:[es fBy/VB r[DKe gqkgs j't/rk.
B'N; e[ZM T[g:'rh ;{soL
(i) log (m. n) = log m + log n
(ii)
n
(iii) log (m) = n log m.
jZb ;fjs T[dkjoD
x
T[dkjoD 1H cbB e . log e x . tan x dk x d/ ;kg/y fBy/VB r[DKe gsk eo'.
x
jZb L wzfBnk y = e . log e x. tan x
d'jK gZyK dk b[rDe b?D s/
x
log y = log e + log (log e x) + log tan x
d'jK gZyK dk x d/ ;kg/y fBy/VB s/
∴
fJ; soQK T[Zso
T[dkjoD 2H i/eo y = sK dk wkB gsk eo'.
jZb L
d'jK gZyK dk log b?D s/
d/ ;kg/y fBy/VB eoB s/
82 LOVELY PROFESSIONAL UNIVERSITY