SOLUTION: I am having a hard time with this section. log4)x - log4)(x + 3) = -2 4e^(x+3) - 4 = 11

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Question 350943: I am having a hard time with this section.
log4)x - log4)(x + 3) = -2
4e^(x+3) - 4 = 11
Answer by nerdybill(7384) About Me  (Show Source):
You can put this solution on YOUR website!
log%284%2Cx%29+-+log%284%2C%28x+%2B+3%29%29+=+-2+
Applying log rules:
log%284%2Cx%2F%28x+%2B+3%29%29+=+-2+
x%2F%28x+%2B+3%29+=+4%5E%28-2%29+
x%2F%28x+%2B+3%29+=+1%2F4%5E2+
x%2F%28x+%2B+3%29+=+1%2F16+
cross multiplying:
16x+=+%28x+%2B+3%29+
15x+=+3+
x+=+1%2F5+
.
.
4e^(x+3) - 4 = 11
4e^(x+3) = 15
e^(x+3) = 15/4
x+3 = ln(15/4)
x = ln(15/4) - 3
x = -1.678