Question

Tentukan nilai m bila :
²log²logm = ²log(3-²log√m)+2

Answer 1

²log²logm=²log(3-²log√m)+2
²log²logm=²log(3-²log√m)+²log4
²log²logm=²log4(3-²log√m)
²logm=4(3-²log√m)
²logm=12-4²log√m
²logm=12-2²logm
3²logm=12
²logm=4

2^4=m
m=16

tambahan :
= 4²log√m
= ²log√m pangkat 4
= ²log m pangkat 4/2
= ²log m²
=2 ²logm