Solve for x 5 natural log of 3-x=4

Problem

5*ln(3−x)=4

Solution

1. Isolate the logarithmic term by dividing both sides of the equation by 5

ln(3−x)=4/5

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

eln(3−x)=e(4/5)

3−x=e(4/5)

3. Isolate x by subtracting 3 from both sides.

−x=e(4/5)−3

4. Solve for x by multiplying both sides by −1

x=3−e(4/5)

Final Answer

x=3−e(4/5)

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