Question

Use a graphing utility to solve each equation. Express your answer rounded to two decimal places.

$e^x-\ln x=4$

Short answer

The solutions of the given equation are 0.05 and 1.48.

Step-by-step solution

Step 1. Given information.

The given equation is:

$e^x+\ln x=4$

Step 2. Determine the solution by the graphing utility.

Plot the graphs of $y_1=e^x-\ln x$and $y_2=4$on a coordinate plane. The x-coordinate of the intersection point is the solution of the given equation.

The graphs intersect each other at $x\approx 0.053$and $x\approx 1.48$. After rounding the value to two decimal places $x\approx 0.05$and$x\approx 1.48$.

Step 3. Conclusion.

The solutions of the given equation are 0.05 and 1.48.