Solve ln(3𝑥) = 1
Solution 1
Sure, here are the steps to solve the equation ln(3x) = 1:
Step 1: Understand that ln is the natural logarithm, which is the inverse of the exponential function. So, ln(3x) = 1 means that e^1 = 3x.
Step 2: Simplify e^1 to e, because any number to the power of 1 is the number itself. So, e = 3x.
Step 3: Solve for x by dividing both sides of the equation by 3. So, x = e/3.
So, the solution to the equation ln(3x) = 1 is x = e/3.
Solution 2
Sure, here are the steps to solve the equation ln(3x) = 1:
Step 1: Understand that ln is the natural logarithm, which is the inverse of the exponential function with base e (Euler's number, approximately equal to 2.71828). So, ln(3x) = 1 means that e to the power of 1 equals 3x.
Step 2: Convert the equation from logarithmic form to exponential form. This gives us e^1 = 3x.
Step 3: Simplify the equation. e^1 is just e, so the equation becomes e = 3x.
Step 4: Solve for x by dividing both sides of the equation by 3. This gives us x = e/3.
So, the solution to the equation ln(3x) = 1 is x = e/3.
Upgrade your grade with Knowee
Get personalized homework help. Review tough concepts in more detail, or go deeper into your topic by exploring other relevant questions.