Solve the following exponential equation. Express your answer as both an exact expression and a decimal approximation rounded to two decimal places. 3e−x+11=48

Question

Solve the following exponential equation. Express your answer as both an exact expression and a decimal approximation rounded to two decimal places.

3e^−x+11 = 48

If you wish to enter log or ln, you must use the keypad

x = __________________ ≈ _________

 

Answer 1

3e^-x +11= 48

1/e^x= 37/3

e^x= 3/37

x =2.51