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Solving Exponential Equations

Solving Exponential Equations. 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 b>0 & b ≠1 if b x = b y , then x=y. Solve by equating exponents.

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Solving Exponential Equations

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  1. Solving Exponential Equations

  2. 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 b>0 & b≠1 if bx = by, then x=y

  3. Solve by equating exponents Since they have the same bases we can set their exponents equal to each other and solve for x. Check →

  4. Your turn

  5. Solve by equating exponents Since they do NOT have the same bases…we have to rewrite so they have common bases. Common base = 2 Distribute! Check →

  6. Your turn

  7. Solve by equating exponents Common base = 2 How can we make ½ a base of 2? Negative exponents!!! Distribute! Check →

  8. You Try

  9. Your turn! Be sure to check your answer!!!

  10. Your turn! Be sure to check your answer!!!

  11. Your turn! Be sure to check your answer!!!

  12. Practice/H.W. Solving Exponential Equations WS

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