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Integrated Algebra 2

Integrated Algebra 2. Section 4.7 Solving Exponential and Logarithmic Equations. NOTE: Be sure to check your answers on these problems. It is very possible to get an answer that does not work when substituted back into the original problem!. Solving Exponential Equations.

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Integrated Algebra 2

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  1. Integrated Algebra 2 Section 4.7 Solving Exponential and Logarithmic Equations NOTE: Be sure to check your answers on these problems. It is very possible to get an answer that does not work when substituted back into the original problem!

  2. Solving Exponential Equations • METHOD #1: Try to re-write both sides of the equation in terms of the same base: • 3 x = 27 • (3/4) x = (27/64)

  3. Solving Exponential Equations • METHOD #1a: Try to re-write both sides of the equation in terms of the same, smaller base (you can only change large numbers into small numbers!):

  4. Solving Exponential Equations • METHOD #2: If there is no common base, change the equation to logarithm form (use the change-of-base formula for an estimated answer if needed)

  5. Solving Logarithmic Equations METHOD #1: If a logarithm is equal to a number, change it into exponential form ans solve for x. • lnx = -1 • log 4 x = 3 • log x – 2 = 0

  6. Solving Logarithmic Equations METHOD #2: If a logarithm is equal to a logarithm of the same base, you can eliminate the logs and solve.

  7. Solving Logarithmic Equations METHOD #3: Use logarithm properties to combine logarithms before solving.

  8. Compounding Interest Formulas:

  9. Compounding Interest Formulas:

  10. Classwork / Homework: Page 161 All

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