Solve the equation for x. Round your answer to two decimal places. Do not include "x =" in your answer.
ln(e^18x) = 9
ln(e^18x) = 9
Since, ln e^x = x
ln e^18x = 18x
18x = 9
x = 2
To solve the equation ln(e^18x) = 9, we need to isolate the variable x.
First, let's simplify the left side of the equation.
Since ln(e^x) and e^ln(x) are inverse functions, we can cancel out ln and e:
ln(e^18x) = 18x
Now, our equation becomes 18x = 9.
To solve for x, we need to isolate it by dividing both sides of the equation by 18:
x = 9/18
Simplifying this further, we get:
x = 0.5
So, the solution to the equation ln(e^18x) = 9 is x = 0.5.