Question

Jika x memenuhi persamaan *4log*4log x - *4log*4log*4log 16 = 2
maka *16log x = .....
a. 4
b. 2
c. 1
d. -2
e. -4
*4 maksudnya angka 4 diatas log

pliss bantuin .

Answer 1

⁴log⁴log x - ⁴log⁴log⁴log 16 = 2
⁴log⁴log x =( ⁴log⁴log⁴log 16 )+ 2
⁴log⁴log x =( ⁴log⁴log⁴log 4² )+ 2
⁴log⁴log x =( ⁴log⁴log 2 ⁴log 4)+ 2
⁴log⁴log x =( ⁴log ²^²log 2)+ 2
⁴log⁴log x =( ⁴log ½ ²log 2)+ 2
⁴log⁴log x =( ⁴log ½)+ 2
⁴log⁴log x =( ²^²log 2^-¹)+ 2
⁴log⁴log x =( -½ ²log 2)+ 2
⁴log⁴log x =-½ + 2
⁴log⁴log x =3/2
⁴log x = 4^(3/2)
⁴log x = 2^(2x3/2)
⁴log x = 2³
⁴log x = 8
x = 4^8

^16log x
=⁴^² log 4^8
=8/2 ⁴log 4
=4 .1
=4