SOLUTION: Find the solution of the exponential equation 4e^x = 10 in terms of logarithms, or correct to 4 decimal places. Please and thank you!

Algebra ->  Exponential-and-logarithmic-functions -> SOLUTION: Find the solution of the exponential equation 4e^x = 10 in terms of logarithms, or correct to 4 decimal places. Please and thank you!      Log On


   



Question 427582: Find the solution of the exponential equation 4e^x = 10 in terms of logarithms, or correct to 4 decimal places. Please and thank you!
Answer by John10(297) About Me  (Show Source):
You can put this solution on YOUR website!
4e^x = 10
e^x = 10/4
ln (e^x) = ln (10/4)
xln(e) = ln(10/4)
Since ln(e) = 1
x(1) = ln (10/4)
x = ln(10/4)
Use the calculator and round to four digits:
x= 0.9163
Have a great day! John10