Question

Se log(3x + 23) - log(2x - 3) = log 4, encontrar x
a)4
b)3
c)7
d)6
e)5

Answer 1

log(3x + 23) - log(2x - 3) = log 4

log (3x+23)/(2x-3) = log 4

(3x+23)/(2x-3) = 4

4(2x-3)=(3x+23)

8x-12 = 3x +23

8x -3x = 23 +12

5x = 35

x = 7 ✓