soal log

^{1. 3}Log 3 = ……

Jawab :

          ^aLog a  = 1

maka, ³Log 3  = 1

^{2. 3}Log 27 = ……

Jawab :

³Log 27 = ³Log 3³ = 3 X ³Log 3 = 3 X 1 = 3

^{3. 2}Log 1/243 X ⁵Log 1/125 X ³Log 1/16= ………...

Jawab :

= ²Log 1/243 X ⁵Log 1/125 X ³Log 1/16

= ²Log 243^-1 X ⁵Log 125^-1 X ³Log 16^-1

= ²Log 3^-5 X ⁵Log 5^-3 X ³Log 2^-4

= -5  ²Log 3 X -3 ⁵Log 5 X -4  ³Log 2

= -5  ²Log 3 X -4  ³Log 2 X -3 ⁵Log 5

= -5 X -4 ( ²Log 3 X ³Log 2 ) X -3 X 1

= 20 ²Log 2 X -3 X 1

= 20 X 1 X -3 X 1

= -60

^{4. 2}Log 64 + ²Log 6 - ²Log 24

Jawab :

= ²Log 2⁶ + ²Log (2 X 3) - ²Log (2³ X 3)

= 6  ²Log 2 + ²Log 2 + ²Log 3 - (3  ²Log 2 + ²Log 3)

= 6  ²Log 2 + ²Log 2 + ²Log 3 - 3  ²Log 2 - ²Log 3

= 6 X 1 + 1 + ²Log 3 - 3 X 1 - ²Log 3

= 6 + 1 - 3 + ²Log 3 - ²Log 3

= 4

^{5. 25}Log 5^2a = 8

Maka a = …….

Jawab :

²⁵Log 5^2a       = 8

25⁸             = 5^2a

25⁸              = (5²)^a

25⁸             = 25^a

8                 = a

6. Log a = 1/3 Log 8 + Log 9 – 1/3 Log 27

a= ……..  

Jawab  :  

Log a = 1/3 Log 8 + Log 9 – 1/3 Log 27

Log a = 1/3 Log 2³ + Log 3² – 1/3 Log 3³

Log a = 3/3 Log 2 + 2 Log 3 – 3/3 Log 3

Log a = Log 2 + 2 Log 3 – Log 3

Log a = Log 2 + Log 3

Log a = Log (2 X 3)

Log a = Log 6

a        = 6

Belajar Rumus Log (sma kelas 1)

Rumus Log memang sedikit  membingungkan bagi kebanyakan siswa. Namun sebenarnya Log adalah materi termudah di kelas 1. Inilah beberapa soal Log dan pembahasannya. SEMOGA BERMANFAAT YAAAA

Log is dificult for many students. But actually, log is very easiest topic at class 10. This is example of log and its answer. GOOD LUCK!!!!

Sebelum saya sajikan contoh-contohnya, saya akan tampilkan terlebih dahulu sifat-sifat LOG :

                                     

     ^{1.  a}Log b                  = c                                 

  a^c                                 = b                                                                      

  2.    ^aLog ( a X b )       =^aLog a + ^aLog b

  3.    ^aLog ( a : b )        = ^aLog a - ^aLog b

  4.    ^aLog a                  = 1 

  5.    ^aLog b                  = ^cLog a X ^cLog b

  6.    ^aLog b^m                   = m X ^aLog b