Question

question 20 of 25
what is the solution to the equation below? round your answer to two decimal places.
4 e^x = 17
a. x = 11.55
b. x = 70.11
c. x = 0.63
d. x = 1.45

Explanation:

Step1: Isolate the exponential term

Divide both sides by 4: $e^x = \frac{17}{4} = 4.25$

Step2: Take natural log of both sides

$\ln(e^x) = \ln(4.25)$ → $x = \ln(4.25)$

Step3: Calculate the value

$\ln(4.25) \approx 1.4469$ (rounded to two decimals is 1.45)

Answer:

D. x≈1.45