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

Question 239170: solve without using a calculator: 3ln(3x)=9
Answer by jsmallt9(3758) (Show Source): You can put this solution on YOUR website!

Divide both sides by 3:

Use the fact that is equivalent to to rewrite the logarithmic equation in exponential form:

Divide both sides by 3:

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):

I'll leave it up to you to simplify this.

RELATED QUESTIONS
Hi! How could I solve without using a calculator: csc(-9Π/4) = ? Thanks! (answered by Fombitz)

evaluate (-9)^(5/2) without using a... (answered by Gogonati,robertb)

Log (sub b=5) 25 solve without using a calculator (answered by Alan3354)

solve without using a calculator: 5^(3-x)=... (answered by Theo,jsmallt9)

Solve without using a calculator: log0,001 + log1 +... (answered by Alan3354)

How do I solve sin(124), without using a... (answered by Alan3354)

without using a calculator evealuate.... (answered by Nate)

Without using a calculator, evaluate... (answered by lwsshak3)

Evaluate without using a calculator. sin30 degrees (answered by richard1234)