Question

Решите уравнение 9^x-75×3^x-1-54=0.

Answer 1

$9^x-75*3^x-1-54=0 \ (3^3)^x-75*3^x=54+1 \ 3^3^x-75*3^x=55 \ 3^x(3^3-75)=55 \ 3^x(-66)=55 \ 3^x=- frac{5}{6} \ x=log_3(- frac{5}{6})=log_3(-5)-log_3(6) \ x=1.46+2.86i - 1.63 = -1.66+2.86i$