Solve for x 3 natural log of 5x=10

Problem

3*ln(5*x)=10

Solution

1. Isolate the natural logarithm by dividing both sides of the equation by 3

ln(5*x)=10/3

2. Rewrite the equation in exponential form by applying the base e to both sides to cancel the natural log.

eln(5*x)=e10/3

5*x=e10/3

3. Solve for x by dividing both sides by 5

x=(e10/3)/5

Final Answer

x=(e10/3)/5

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