PEMBAHASAN LOGARITMA

PEMBAHASAN LOGARITMA

by Nur Laila Indah Sari,S.Si

PEMBAHASAN

     1.      Jawab : D

Ingat : 

          

      2.      Jawab : A

Ingat : 

      3.      Jawab : A

Ingat : 

     4.      Jawab : E

²log 4 + ²log 10 – ²log 5 =

                                        = ²log 8

                                        = ²log 2³

                                        = 3²log 2 = 3 1 = 3

      5.      Jawab : B

²log 48 – ²log 3 =

                          = ²log 16

                          = ²log

                          = 4²log 2 = 4 1 = 4  

      6.      Jawab : C

⁵log 50 – ⁵log 2 = 

                          = ⁵log 25

                          = ⁵log

                          = 2 ⁵log 5 =  2 1 = 2   

       7.      Jawab : E

 

                              

      8.      Jawab : B

 

      9.      Jawab : D

³log 36 + ⁵log 100 – ³log 4 – ⁵log 4 = ³log 36 – ³log 4 + ⁵log 100 – ⁵log 4

                                                         =

                                                         = ³log 9 + ⁵log 25

                                                         = ³log 3² + ⁵log 5²

                                                         = 2 + 2 = 4    

     10.  Jawab : A

  

     11.      Jawab : E

             2^x = 18

             ²log 18 = ²log 2.9 = ²log 2 + ²log 9

                          = ²log 2 + ²log 3²

                           = 1 + 2 ²log 3

             

    12.      Jawab : D

       

     13.      Jawab : C

     14.      Jawab : A

log 75 =

           = log 300 – log 4

           = log 100.3 – log

           = log 100 + log 3 – 2.log 2

           = 2 + 0.4771 – 2.0,3010

           = 2,4771 – 0,602 = 1,8751

    15.      Jawab : A

 

              

    16.      Jawab : E

     ²log 25 x  ³log 8 x  ⁵log 9 = ²log  x  ³log  x  ⁵log

                                          = 2.²log 5 x 3.³log 2 x 2.⁵log 3

                                          = 2.3.2. ²log 5.⁵log 3.³log 2

                                          = 12. ²log 2 = 12   

     17.      Jawab : E

    18.      Jawab : A

            ¹²log 3 + ¹²log 4 = ¹²log 3.4

                                       = ¹²log 12 = 1

    19.      Jawab : B

   ⁵log 4 x ²log 3 x  ⁹log 5 = ⁵log 2² x ²log 3 x  log 5

                                       = 2.⁵log 2  ²log 3    ³log 5

                                       = 2.  .⁵log 2  ²log 3  ³log 5

                                       = 1 . ⁵log 5 = 1

    20.  Jawab : D

          log 6 = log 2.3

                   = log 2 + log 3 = 0,3010 + 0,4771 = 0,7781

    21.      Jawab : A

    ²log 64 = ²log 2⁶ = 6

    22.      Jawab : E

    23.      Jawab : D

    log 256 = log 16² = ²log 16 = 2  1,20412 = 2,40824

    24.      Jawab : C

    25.      Jawab : D