SOLUTION: Sovle the equation for x using logarithms. Round any decimal answer to the nearest hundredth. Do not use spaces or capital letters. 5^x=83

Algebra ->  Exponential-and-logarithmic-functions -> SOLUTION: Sovle the equation for x using logarithms. Round any decimal answer to the nearest hundredth. Do not use spaces or capital letters. 5^x=83      Log On


   



Question 78558: Sovle the equation for x using logarithms. Round any decimal answer to the nearest hundredth. Do not use spaces or capital letters.
5^x=83

Answer by ankor@dixie-net.com(22740) About Me  (Show Source):
You can put this solution on YOUR website!
Round any decimal answer to the nearest hundredth. Do not use spaces or capital letters.
5^x = 83
:
ln(5^x) = ln(83)
:
x*ln(5) = ln(83); the log equivalent of exponents
:
x*(1.6094379) = 4.418840608; find the ln of 5 and 83
:
x = 4.41880608%2F1.6094379
:
x = 2.75
:
Check on a good calc 5^2.75 = 83.59 ~ 83