⁴log ⁴log x- ⁴log ⁴log ⁴log 16=2 maka ¹^6logx adalah

Bab Logaritma
Matematika SMA Kelas X

^ = pangkat

⁴log ⁴log x - ⁴log ⁴log ⁴log 16 = 2
⁴log ⁴log x - ⁴log . ⁴log ⁴log 4² = 2
⁴log ⁴log x - ⁴log ⁴log 2 = 2
⁴log ⁴log x - ⁴log . ⁴log 4^(1/2) = 2
⁴log ⁴log x - ⁴log (1/2) = 2
⁴log ⁴log x - ⁴log 4^(-1/2) = 2
⁴log ⁴log x - (-1/2) = 2
⁴log ⁴log x = 4/2 - 1/2
⁴log ⁴log x = 3/2
⁴log x = 4^(3/2)
⁴log x = 8
x = 4⁸

¹⁶log x = ¹⁶log 4⁸
           = 8 . ¹⁶log 4
           = 8 . ¹⁶log 16^(1/2)
           = 8 . (1/2) . ¹⁶log 16
           = 4