Lakkaddaa Loogarizimii ilaali

'''Loogarizmiin''' [[Warroomii (faankishinii)|warroomii]] [[Herrega|herregaa]] kan agarsiisu yoo ta’u, [[Aangessoo(ekispoonentii)|aangessoo]] hundee kenname tokko lakkoofsa murtaa’e argachuuf gara isaatti ol kaafamuu qaba. Kana jechuun lakkoofsa barbaadame argachuuf hundee sana gara aangoo/powarii akkamii ol kaasuu akka qabnu nutti hima. Herregaa keessatti loogaritmiin akka, . <math>\log_a b </math> tti barreffama yeeroo dubbiisnuu "Loogaritmii x gara Hundee b" fi "lakkoofsi hundee a yoo meeqaan aaangeeffame  lakkoofsa b  kenna?" Jechuu wajjin tokko. <math>\log_a b = x\,</math> Ta'e <math>a^x=b\,\!</math> ta'uu isaati.

fakkeenya:

<math>\log_3 9 = 2\,</math> Yeroo dubbifamu "loogaritmiin 9 gara hundee 3tti 2 ta'a" sababni isaas 3 <sup>2</sup> = 9.

== Amaloota loogaritmii ==
Amaloota loogaritmii

Amaloonni armaan gadii kallattiin hiika hundee loogaritmii  qabu irraa hordofu

a > 0 fi a ≠ 1 ta’a

a <sup>c</sup> = b → <math>{\log_a b} = c </math>

a = Hundee

b = bu’aa

c = aangeessoo ykn ekispoonantii

# log𝑎 1 = 0 sababnisaa 𝑎0 = 1. 
# log𝑎 𝑎 = 1 sababnisaa 𝑎1 = 𝑎. 
# log𝑎 𝑎𝑝 = 𝑝 fi 𝑎log𝑎 𝑝 = 𝑝 . . . Hariiroo fuggisoo
# If log𝑎 M = log𝑎 N, then M = N . . . Amala tokko tokkof
# <math>\log_a (bc)\ = \log_a |b| + \log_a |c| \quad (bc>0)</math>
# <math>\log_a \frac{b}{c} = \log_a |b| - \log_a |c| \quad \left( \frac {b} {c} >0 \right)</math>
# <math>\log_a b = \frac{\log_c b }{\log_c a}</math>
# <math>\log_a (b^p) = p\ \log_a |b| \quad (b^p > 0)</math>
# <math>\log_a \sqrt[k\,]{x} = \log_{a^k} b = \frac {1} {k} \log_a b </math>
# <math>\log_a \sqrt[k\,]{x} = \log_{a^k} b = \frac {1} {k} \log_a b </math>
# <math>a^{log_c d}=d^{log_c a}</math>

== [[Warroomii (faankishinii)|Warroomii]] loogaritmii ==
[[File:Log.png|thumb|250x250px| Caatoowwan warroomii Loogaritmii -- Halluuwwan adda addaa caatoowwan loogaritmii hunde adda addaa qaban bakka bu'u]]
Faankishiniin loogaritmii  "log" kan agarsiifamu yoo ta'u, qaamolee gurguddoo lama qaba: hundee fi raggaasa(argument). Hundeen lakkoofsa pozaatiivii kamiyyuu 1 ol ta’uu danda’a, 1 mataa isaa  malee. Raggaasni lakkoofsa loogaritmii argachuu barbaannudha.
[[Category:Loogarizimii]]
[[Category:Herreega]]