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Solve ln(3𝑥) = 1

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Solve ln(3𝑥) = 1

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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.

This problem has been solved

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.

This problem has been solved

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