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hba
 2 years ago
Best ResponseYou've already chosen the best response.9\[\Huge{\bf{Law\ of\ Logaritm:}}\] \[1.\log _{_{a}}a(xy)=\log _{_{a}}x+\log _{a}y\]\[2.\log_a \ (\frac{ x }{ y })=\log_ax\log_ay\]\[3.\log_ax^m=mlog_ax\]

hba
 2 years ago
Best ResponseYou've already chosen the best response.9\[\Huge{\bf{CHANGE\ OF \ BASE \ OF \ LOG:}}\] \[\log_aN=\frac{ \log_mN }{ \log_ma }\]

hba
 2 years ago
Best ResponseYou've already chosen the best response.9\[\Huge{\bf{SOME\ USEFUL\ RESULTS:}}\] \[1.\log_aa=1\]\[2.\log_a1=0\]\[3.\log_a0=\infty \]\[4.\log_ab*\log_ca=\log_cb\]\[5.a^{\log_a^n}=n\]In particular,\[e^{lnn}=n\]\[6.\log_ab=\frac{ 1 }{ \log _{a}^{b} } or\ \log_ab*\log_ba=1\]

hba
 2 years ago
Best ResponseYou've already chosen the best response.9@ash2326 @Agent_Sniffles @AccessDenied @cwrw238 @ganeshie8 @him1618 @mayankdevnani @nitz @nubeer @Skaematik @Spectrum

mayankdevnani
 2 years ago
Best ResponseYou've already chosen the best response.0\[\Huge{\color{red}{thnx...} \space \color{blue}{@hba!!!}}\] \[\Huge{\color{green}{\ddot \smile}} \]

mayankdevnani
 2 years ago
Best ResponseYou've already chosen the best response.0\[\huge{\color{red}{\frak{ \space \text{great} \space tutorial \space}\mathbb{Thanx !!!!!!}}}\]

Spectrum
 2 years ago
Best ResponseYou've already chosen the best response.0@hba why didy ou do this ..i have a headache now ._. :3

hba
 2 years ago
Best ResponseYou've already chosen the best response.9@Spectrum I am sorry but i tried my best to simplify it.

Spectrum
 2 years ago
Best ResponseYou've already chosen the best response.0haha im kidding man :3.gj medal for you

shubhamsrg
 2 years ago
Best ResponseYou've already chosen the best response.1log 0 = infinity ??maybe you mean infinity.. anyways, i'd say that's neither..its undefined..

hba
 2 years ago
Best ResponseYou've already chosen the best response.9I know i have read this and it can be either + infty or  infty so as we are not sure,I may go with Undefined,Thanks for the feedback.

hartnn
 2 years ago
Best ResponseYou've already chosen the best response.0log 0 is undefined but if we have to choose from +inf and inf, it would definitely be inf. a^inf =0 doesn't make sense, inf is very large number, a^inf also is. a^inf =0 makes sense, more appropriately, its very very small number tending to 0.

shubhamsrg
 2 years ago
Best ResponseYou've already chosen the best response.1he wrote my mind down! :P

hartnn
 2 years ago
Best ResponseYou've already chosen the best response.0you realize, u have a typo in 1. @hba

hba
 2 years ago
Best ResponseYou've already chosen the best response.9Oh man,how can i make mistakes :(

hba
 2 years ago
Best ResponseYou've already chosen the best response.9@hartnn Thanks for the feedback though.

hartnn
 2 years ago
Best ResponseYou've already chosen the best response.0i tried to message you, but u won't accept....

hba
 2 years ago
Best ResponseYou've already chosen the best response.9@hartnn Don't worry i am going to make a correction slot.

hba
 2 years ago
Best ResponseYou've already chosen the best response.9\[\Huge{\bf{CORRECTIONS:}}\] The first law of log  \[1.\log _{_{a}}(xy)=\log _{_{a}}x+\log _{a}y\] The useful result area  \[3.\log_a0= Undefined\]

hba
 2 years ago
Best ResponseYou've already chosen the best response.9\[\frak\color{red}{oh\ oooooooooooo}\]

hba
 2 years ago
Best ResponseYou've already chosen the best response.9@hartnn Do you know something which everyone is looking for because i want to make more tutorials ?

hartnn
 2 years ago
Best ResponseYou've already chosen the best response.0if i would've known, i would've made tutorial :P
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