Solve for x e^x=5

Problem

ex=5

Solution

1. Apply the natural logarithm to both sides of the equation to isolate the exponent.

ln(ex)=ln(5)

2. Simplify the left side using the inverse property of logarithms, where ln(ea)=a

x=ln(5)

3. Approximate the value if a decimal representation is required, though the exact form is usually preferred.

x≈1.6094

Final Answer

ex=5⇒x=ln(5)

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