SOLVING EXPONENTIAL EQUATIONS
An
exponential
equation is one where the variable is in the exponent.
Here are some common types. Click on each to see how to solve it.
2
^{x}
= 64
Trial & Error
5
^{x}
= 25
Equate the Bases
8
^{x - 3}
= (2
^{(x - 2)}
)
^{2}
Equating Bases II
When you can't easily equate the bases ...
4
^{x}
= 85
Use logs [1]
2
^{(x - 5)}
= 3
^{(x - 8)}
Use logs [2]
16
^{2}
· 25
^{2x}
= 17
^{x}
Use logs [3]
Mr. Willis' Page