Question

log base 4(-x2+5x)=log6 base 4

Answer 1

$log_{4}-x^{2}+5x=log_{4}6 \\ \\ -x^{2}+5x=6 \\ \\ -x^{2}+5x- 6 =0 \\ \\ D = (5^{2})-4(-1)(-6) \\ \\ D =25-24=1 \\ \\ \sqrt{D} = 1 \\ \\ x'= \frac{-5+1}{2.-1} \\ \\ x' = \frac{-4}{-2} = 2 \\ \\ x''= \frac{-5-1}{2.-1} \\ \\ x' = \frac{-6}{-2} = 3$

Resposta: x = 2 ou x = 3

Espero ter ajudado