Question

Log (x^2 . 2^y) = 5
log( 3^y / x^3 ) = 4

maka y = ?

Answer 1

Misal log x = p

log(x²×2^y) = 5
log x² + log 2^y = 5
2 log x + y log 2 = 5
2p + y log 2 = 5
y log 2 + 2p = 5

log( 3^y / x^3 ) = 4
log 3^y - log x^3 = 4
y log 3 - 3 log x = 4
y log 3 - 3p = 4

eliminasi

3y log 2 + 6p = 15
2y log 3 - 6p = 8
------------------------------+
(3 log 2 + 2 log 3)y = 23
y = 23/(3 log 2 + 2 log 3)