Question

dada a função y (x) = 8* (3/2)^x , calcule o valor de x ( usando logarítmos e fração ) quando y = 729/8.

Answer 1

729/8=8*(3/2)^x
729/8*(1/8)=(3/2)^x
729/64=(3/2)^x
(9/4)³=(3/2)^x
(3²/2²)³=(3/2)^x
(3/2)^6=(3/2)^x
x=6