SOLUTION: solve without using a calculator: 3ln(3x)=9

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Question 239170: solve without using a calculator: 3ln(3x)=9
Answer by jsmallt9(3758) About Me  (Show Source):
You can put this solution on YOUR website!
3ln%283x%29=9
Divide both sides by 3:
ln%283x%29=3
Use the fact that log%28a%2C+%28p%29%29+=+q is equivalent to p+=+a%5Eq to rewrite the logarithmic equation in exponential form:
3x+=+e%5E3
Divide both sides by 3:
x+=+e%5E3%2F3
This is an exact answer and it may be the desired answer. We could also substitute for e (using the approximation 2.7183 which we could find without a calculator):
x+=+%282.7183%29%5E3%2F3
I'll leave it up to you to simplify this.