1. 2log x = p , 8log y = q, maka 4log √x√y = ? 2. log x = 16 , log y = 32, maka log √x√y√x√y = ?

Jawaban :
no.1 = 1/4p + 3/8q
no.2 = 20

caranya ada tapi gak bisa uploadnya :) tidak beda jauh sama yang diatas kok :)

kalau kurang jelas tanya dikomentar aja ya :)


Semoga Membantu :)

1). Dik:
²logx = p
⁸logy = q ------>> ²log y = 3q

Jwb:
⁴log√(xy)
= (log√x + log√y)/log4
= (logx^1/2 + logy^1/2)/log2^2
= (1/2.logx + 1/2.logy)/2.log2
= 1/2(logx + logy)/2.log2
= 1/2(p + 3q)/2.1
= 1/2(p + 3q)/2
= 1/4(p + 3q)

2). Dik:
logx = 16
logy = 32

Jwb:
log√x√y√x√y
= log√x + log√y + log√x + log√y
= logx^1/2 + logy^1/2 + logx^1/2 + logy^1/2
= 1/2(logx + logy + logx + logy)
= 1/2(16 + 32 + 16 + 32)
= 1/2(96)
= 48

Nb:
^ artinya pangkat