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Section 9.4 Properties of Logarithms

Section 9.4 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 Power Rule The Quotient Rule Writing Expressions as a Single Logarithm The Change of Base Formula Application.

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Section 9.4 Properties of Logarithms

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  1. Section 9.4 Properties of Logarithms • Review Basic Properties of Logarithms • logb1=0 logbb=1 logbbx=x blogbx=x • The Product Rule • The Power Rule • The Quotient Rule • Writing Expressions as a Single Logarithm • The Change of Base Formula • Application 9.4

  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 9.4

  3. The Product Rule for Logs 9.4

  4. The Power Rule for Logs 9.4

  5. The Quotient Rule for Logs 9.4

  6. Using the Properties Together 9.4

  7. What Next? Conic Sections • Present Chapter 10 9.4

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