Name _______________________ CC Algebra 2 Lesson 7-2 Date ____________
AIM: How do we solve exponential equations?
Do Now: What is the difference between a power equation and an exponential equation?
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Recall, an exponential equation is one in which a variable occurs in the exponent. Hence, we can solve for
exponential equations when the base of both sides of the equation is the same.
How do we solve exponential equations?
Same Base:
If , then (where and )
Try:
Different Base:
We want to re-write one or both sides of the equation
as powers of the same base.
Try:
Exercise #1: Solve the following exponential equations. Be sure to always check your solution.
(1)
(2)
(3)
(4)
72x+1=73x−2
bx=by
x=y
b>0
b≠1
3x=34x−6
32x−1=27x
27x=92x−1
25x=5x+3
22x=8
3x2+2=36
44x=8
4
3
