Question

Resolva aa equações:
a) log3 x=4
b) log1/3 x=-2
c) log3 x+3/x-1=1
d) log12 x^2-x=1
e) log1/2 x^2+4x-5=-4

Answer 1

a) Log3 x=4 --- 3^4 = X --- X= 81 
b) Log1/3 x = -2 --- 1/3^-2 = X --- X= 3^2 --- X=9
c) Log3 x+3/x-1=1 --- X+3 . X-1 = 3^1 --- X^2 -X +3X -3 = 3 --- X^2 +2X -6 = 0 =(Faz Bhaskara)
d) Log12 X^2 - X =1 --- X^2 - X = 12 --- X^2 - X - 12 = 0 (Bhaskara tb)
e) Log1/2 x^2 +4x - 5 = -4 --- X^2 +4X - 5 = 1/2^-4 --- X^2 +4X - 5 = 16 --- X^2  + 4X - 21 = 0 (Bhaskara)