Solve for x e^x-9=19

Problem

ex−9=19

Solution

1. Isolate the exponential term by adding 9 to both sides of the equation.

ex−9+9=19+9

ex=28

2. Apply the natural logarithm ln() to both sides to undo the exponential function.

ln(ex)=ln(28)

3. Simplify the left side using the property ln(ex)=x

x=ln(28)

Final Answer

ex−9=19⇒x=ln(28)

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