Question

What is the solution to the equation below? Round your answer to two decimal places. 4•e^x=17

Answer 1

Answer:

$\large\boxed{x\approx1.45}$

Step-by-step explanation:

$4e^x=17\qquad\text{divide both sides by 4}\\\\e^x=\dfrac{17}{4}\qquad \ln\ \text{of both sides}\\\\\ln e^x=\ln\dfrac{17}{4}\qquad\text{use}\ \log_aa^n=n\\\\x=\ln\dfrac{17}{4}\\\\x\approx1.45$