SOLUTION: Can you please help me solve this problem? ln(x+3)^5<5

Question 412674: Can you please help me solve this problem?
ln(x+3)^5<5
Answer by jsmallt9(3758) (Show Source): You can put this solution on YOUR website!

First we can use a property of logarithms, , to move the exponent of the argument out in front:

Next we can divide both sides by 5:

Since ln(e) = 1
x+3 < e
Subtracting 3 from each side we get:
x < e-3

We also have to consider the fact that arguments of logarithms must always be positive. For this reason
x+3 > 0
Subtracting 3 from eqach side we get:
x > -3

Putting these together we have
x < e-3 and x > -3
This is the solution to your inequality.
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