---LET'S STUDY MATHEMATIC---

welcome

welcome

Jumat, 21 Maret 2014

LOGARITMA


1.alogb = c => ac = b

Contoh : 1. 2log8  = 3 => 23 = 8

                2. log100 =2 => 102 = 100

                3. 5log625 = 4 => 54 = 625



 
2. aloga = 1, maka alogab = b
Contoh : 1. 2log2  =1

           2. 5log52 = 2
              3. log103 = 3
 

 
3. alogb + alogc = alogb.c 
Contoh : 1. 2log8  + 2log4    = 2log32
                    2log23 + 2log22  = 2log25
                        3      +    2      =  5

 
4. alogb - alogc = alogb/c
Contoh : 1. 2log64  - 2log8      = 2log8
                      2log26 - 2log23   = 2log23
                          6      -    3       = 3

 
5. alogbc = c alogb
Contoh : 1. 2log9   = 2log32 = 2 2log3
               2. log125 = log53   = 3 log5

 
6. alogb = plogb/ploga
Contoh : 1. 5log7 = 2log7/2log5 = 3log7/3log5
            2. 3log2  =  log2/log3     = 5log2/5log3

 
7. alogb . blogc =  alogc
Contoh : 1. 2log5 . 5log8     = 2log8

                                            = 2log23

                                            = 3
atau dengan cara : 1. 2log5 . 5log8         = log5/log2 . log8/log5
                                                     = log8/log2
                                                     = log23/log2
                                                   = 3log2/log2
                                                                              = 3

 
8. aclogbd = d/c . alogb 
Contoh :  1.23log24 = 4/3 . 2log2
                                = 4/3 . 1
                                = 4/3
 





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