Question

Diketahui 2log 3 = a dan 2log 5 = b. Nilai dari 9log 150 dalam a dan b adalah...

Answer 1

2^log 3 = a; 2^log 5 = b
9^log 150 = 2^log 150/ 2^log 9
= (2^log 5^2 + 2^log 2 + 2^log3) / 2^log 3^2
= (2 x 2^log5 + 1 + 2^log 3) / 2 x 2^log3
= (2b + 1+ a) / 2a

Answer 2

²log 3 = a
²log 5 = b
⁹log 150 = ²log 150 / ²log 9
= ²log (3 x 5 x 10) / ²log 3²
= (²log 3 + ²log 5 + ²log 5 + ²log 2)/(2 ²log 3)
= (a + 2b + 1)/2a