SOLUTION: 9 In(9x)=4

Question 280829: 9 In(9x)=4
Answer by jsmallt9(3758) (Show Source): You can put this solution on YOUR website!
9ln(9x) = 4
First let's isolate the logarithm by dividing both sides by 9:
ln(9x) = 4/9
With the equation now in the form
log(expression) = other-expression
we proceed by rewriting the equation in exponential form. Since ln is a base e logarithm we get:

Now, to isolate x, we divide by 9 again:

This is an exact expression for the solution. If you are driven to find a decimal approximation then, using 2.7182818284590451 (or a rounded-off version of it) for e, use your calculator to raise e to the 4/9 power and then divide that by 9.
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