<meta http-equiv="refresh" content="1; url=/nojavascript/"> Solving Exponential Equations ( Study Aids ) | Analysis | CK-12 Foundation
Skip Navigation

Solving Exponential Equations

Best Score
Practice Solving Exponential Equations
Best Score
Practice Now
Exponential Equations
 0  0  0

Feel free to modify and personalize this study guide by clicking “Customize.”

Logarithms are simply another tool that can be used to isolate a variable when solving for x.  It is important to remember that when a log of a side of an equation is taken, the entire side is put inside the log function.  For example, taking the log of 3x+5y = 12 would result in log(3x+5y) = log(12), not log(3x)+log(5y) = log(12).  Also remember that logs do not "cancel out" an exponent's base unless the base of the log and the exponent match.  More tips are listed below.


Utilize the addition/subtraction log rules: they can be used to combine to log terms

Not only can you take the log of both sides, but you can also put a number to the power of each side and maintain equality. (e.g. 2x = 6, 32x = 36).

Utilize the exponent rule to "bring down" variables (e.g. log(32x) = 2x•log(3))

If the log's base and the exponent's base DO match, then they will drop out (e.g. log(104)=4)

Practice problems can be found here.

Image Attributions


Email Verified
Well done! You've successfully verified the email address .
Please wait...
Please wait...
ShareThis Copy and Paste

Original text