- If the exponents on both sides of the equation have the same base, you can use the fact that: If a^x=a^y then x=y. Now simply solve the equation.
- In all other cases, take the log of both sides (this might require some manipulation) and solve for the variable. The logarithm property ln(a^x)=xln(a) makes this a fairly simple task.
Let’s start with an example of exponents with the same base (click here):
Here’s another example that requires some manipulation to get the same base on both sides (click here):
Here’s an example using the logarithm properties (click here):
Cheers,
Michal
