Jika 2log 3 = x, maka 16log 6

Mapel : Matematika
Kelas : X SMA
Bab : Logaritma

Pembahasan :
²log 3 = x

Maka...
16'log 6
= ²Log 6 / ²Log 16
= ²Log (3 x 2) / ²log 2⁴
= ²log 2 + ²log 3 / 4
= (1 + x)/4

[tex]\displaystyle ^{16}\log6=\frac{^2\log6}{^2\log16}\\^{16}\log6=\frac{^2\log(2\cdot3)}{^2\log16}\\^{16}\log6=\frac{^2\log2+{^2\log3}}{^2\log16}\\\boxed{\boxed{^{16}\log6=\frac{1+x}{4}}}[/tex]