Solve, Round your answer to the nearest thousandth. e^x-4=9 x= square

To solve the equation , we can take the natural logarithm of both sides to get rid of the exponential term.Taking the natural logarithm of both sides, we have: Using the property of logarithms that , we can simplify the left side of the equation: Now, we can solve for by adding 4 to both sides: Using a calculator, we can find that . Therefore, the solution to the equation is: Rounding to the nearest thousandth, we have: Therefore, the answer is .