jika 4logx² + √2 log√y =²log√z, maka z²= ?

Kelas 10 Matematika
Bab Logaritma

^ = pangkat

^4log x² + ^√2log √y = ²log √z
^(2²)log x² + ^(2^(1/2))log y^(1/2) = ²log √z
(2/2) . ²log x + (1/(1/2)) . ²log y^(1/2) = ²log √z
²log x + ²log (y^(1/2))² = ²log √z
²log x + ²log y = ²log √z
²log (xy) = ²log √z
xy = √z

√z = xy
z^(1/2) = xy
(z^(1/2))^4 = (xy)^4
z² = x^4 . y^4

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