Question

solve without a calculator:
log(x-4)=log(5x+3)

Answer 1

since they're logs of the same base, the arguements must be the same:
(x - 4) = (5x + 3)
now solve this linear equation. and be sure to check your answers

Answer 2

make each side e^(log(x-4)) = e^(5x-3))

which makes it cancel to (x-4)=(5x-3)

Answer 3

because even if the algebra is correct, there may be an extraneous solution.

Answer 4

solving for x, x = ???

Answer 5

so the answer would be -7/4?

Answer 6

try again..

Answer 7

x = -1/4 ?

Answer 8

how did you get that?