Question

Log_8 = Log with the base of 8

log_8 (x-3) - log_8 (3x+11) = log_8 [1 / (x+1)]

I use the quotient law for the left side and eliminate log_8. And then what?

My Work:

log_8 [(x-3)/(3x+11)] = log_8 [1 / (x+1)]
[(x-3)/(3x+11)] = [1 / (x+1)]

Answer: 7

Answer 1

multiply both sides by (3x+11)(x+1)

(x-3)(x+1) = 3x+11
x^2 - 2x - 3 = 3x + 11
x^2 - 5x -14 = 0
(x-7)(x+2) = 0
ok?