Solve for x e^x=4

Problem

ex=4

Solution

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

ln(ex)=ln(4)

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

x=ln(4)

3. Rewrite the constant if necessary by expressing 4 as 2 and applying the power rule for logarithms, ln(ab)=b*ln(a)

x=ln(2)

x=2*ln(2)

Final Answer

x=ln(4)

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