Question

Log(35-x^3) / Log(5-x)=3

Answer 1

Ola Vitoria Caroline

log(35 - x³)/log(5 - x) = 3

log(35 - x³) = 3*log(5 - x) 

log(35 - x³) - log(5 - x)³ = 0 

log( (35 - x³)/log(5 - x)³) = log(1) 

(35 - x³) = (5 - x)³

35 - x³ = -x³  + 15x² - 75x + 125

15x² - 75x + 90 = 0 

x² - 5x + 6 = 0

delta
d² = 25 - 24 = 1
d = 1

x1 = (5 + 1)/2 = 6/2 = 3
x2 = (5 - 1)/2 =  4/2 = 2