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

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

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) (Show Source): You can put this solution on YOUR website!

Applying log rules:

cross multiplying:

.
.
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
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