Solving Exponential Equations

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Solving Exponential Equations
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Exponential Equations

• One way to solve exponential equations is to use
  the property that if 2 powers w/ the same base
  are equal, then their exponents are equal.
• For bgt0 b?1 if bx by, then xy

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Solve by equating exponents
Since they have the same bases we can set their
exponents equal to each other and solve for x.
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Solve by equating exponents
Since they do NOT have the same baseswe have to
rewrite so they have common bases. Common base 2
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Solve by equating exponents
Common base 2
How can we make ½ a base of 2? Negative
exponents!!!
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Your turn!
Be sure to check your answer!!!
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Solve by equating exponents
Inequality!!! Works the same way as
exponents Common base 2
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Solve by equating exponents
Common base 6
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Your turn!