Question

O resultado da equacao log3(2x +1) - log3(5x-3)= -1 é:
a)12
b)10
c)8
d)-6
e)4​

Answer 1

log3(2x +1) - log3(5x-3)= -1

log3 (2x+1)/(5x-3) = -1

(2x+1)/(5x-3) = 3-¹

(2x+1)/(5x-3) = 1/3

3(2x+1) = 1(5x-3)

6x+3 = 5x-3

6x -5x = -3 -3

x = -6 ✓