Solving Exponential Equations

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Section 6.6

• Solving Exponential Equations

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Solve for x

• 3x 15

How would you find x?
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Example 1

• Solve 2t 3 to the nearest hundredth

t 1.58
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Example 2

• Solve log1734

y 1.25
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Example 3

• The population of the US reached 250million in
  1990 and was growing at about 1 a year. Use the
  formula APert to find when the population would
  reach 300 million

18yrs later 2008
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Change of Base Thm

• bxa
• logc bx logc a
• x logc bx logc a
• x

logba
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Example 4

• Evaluate log5 170 using the change of base theorem

Using base 10
Using base e