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Exponential Equations: Example 1
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Solve
.
Exponential Properties
To solve most equations, we usually isolate x. Can we add 4 to both sides here?
We could, but it wouldn't help because it would be outside the parentheses on the left.
What can we do?
Raise both sides to the same power.
What power is helpful here?
The second power, or we need to square both sides.
Do it.
, or
7
x
– 4 = 9
Now can we add 4 to both sides?
Yes, this will help because the 4 on the left is no longer part of an exponential.
Do it.
7x = 13
Solve for x
How can we check this result?
We can substitute it into the
original equation
.
Do that.
We get
It checks!
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General Contents
Detailed Contents
Index