Solve for x e^x=5.1

Problem

ex=5.1

Solution

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

ln(ex)=ln(5.1)

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

x=ln(5.1)

3. Calculate the numerical value of the natural logarithm of 5.1 using a calculator.

x≈1.62924

Final Answer

x=ln(5.1)≈1.62924

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