Matematika

Pertanyaan

Sederhanakan :
A. ^8log512
B. Log 1000^4
C.^6log36^6
D.25 ^5log 625
E. ^3log81
Sederhanakan : A. ^8log512 B. Log 1000^4 C.^6log36^6 D.25 ^5log 625 E. ^3log81

2 Jawaban

  • a. ^8 log 512 = ^8 log 8^3 = 3
    b. log 1000^4=log (10^3)^4=log 10^12= 12
    c. ^6 log 36^6=^6 log (6^2)^6=^6 log 6^12= 12
    d. 25 ^5 log 5^4 = 25 . 4=100
    e. ^3 log 3^4 =4
    (^ = pangkat)
  • Bab Logaritma
    Matematika SMA Kelas X

    A] ⁸log 512 = ⁸log 8³ = 3 x ⁸log 8 = 3

    B] log 1.000⁴ = 4 x log 10³ = 4 x 3 x log 10 = 12

    C] ⁶log 36⁶ = 6 x ⁶log 36 = 6 x ⁶log 6² = 6 x 2 x ⁶log 6 = 12

    D] 25 ⁵log 625 = 25 x ⁵log 5⁴ = 25 x 4 x ⁵log 5 =100

    E] ³log 81 = ³log 3⁴ = 4 x ³log 3 = 4