Answer:
Step-by-step explanation:
I take it that the base of the log is 4.
So the question can be written as
log_4 [(x+2)/(x + 3)] = -1
If you take the antilog of this, you get
(x + 2)/(x+3) = 4^-1 = 1/4
Now Cross Multiply
4*(x + 2) = 1*(x + 3) Remove the brackets on both sides
4x + 8 = x + 3 subtract x from both sides.
4x - x + 8 = x - x + 3 Combine
3x + 8 = 3 Subtract 8 from both sides
3x = 3 - 8 Combine
3x = - 5 Divide by 3
x = - 5/3
