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Section 9.7 Properties of Logarithms

Section 9.7 Properties of Logarithms. Review Basic Properties of Logarithms log b 1 =0 log b b= 1 log b b x =x b log bx =x The Product Rule The Quotient Rule The Power Rule Writing Expressions as a Single Logarithm The Change of Base Formula. Basic Properties of Logarithms.

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Section 9.7 Properties of Logarithms

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  1. Section 9.7 Properties of Logarithms • Review Basic Properties of Logarithms • logb1=0 logbb=1 logbbx=x blogbx=x • The Product Rule • The Quotient Rule • The Power Rule • Writing Expressions as a Single Logarithm • The Change of Base Formula

  2. Basic Properties of Logarithms • For any base a (0<a and a≠1) • loga1=0 • a0 = 1 • logaa=1 • a1 = a • logaax=x • ax = ax • alogax=x • ax = logax

  3. The Product Rule for Logs

  4. The Quotient Rule for Logs

  5. The Power Rule for Logs

  6. Using the Properties Together

  7. The Change of Base Formula • If a, b, and x are positive, a ≠ 1, b≠ 1

  8. Using the Change of Base Formula

  9. What Next? Exponential & Log Equations • Present Chapter 9.8

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