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Published byAmberly Hodge Modified over 9 years ago
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Logarithms
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Exponential Equations: Logarithmic Equations: Exponent Base Exponent What it equals
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Reading Logarithms
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Example 1: Write the exponential equation in logarithmic form
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You Try 1:Write the exponential equation in logarithmic form
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Example 2: Write the logarithmic equation in exponential form
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▪ A logarithm with base 10 is called a common logarithm. If no base is written for the logarithm, the base is assumed to be 10. ▪ Ex: log 4 ▪ Special properties of logarithms: Logarithmic FormExponential FormExample Logarithm of base b: Logarithm of 1:
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Evaluating Logarithms ▪ When it comes to evaluating logarithms, ask yourself this question, “what raised to the x power gives me this value?” ▪ Then decide what x is
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Example 3: Evaluate
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You Try 2: Evaluate
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Example 4:Evaluate
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Using Inverses
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Example 5: Simplify the expression
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You Try 3: Simplify the expression
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Example 6:
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Graphing Logarithms ▪ Remember earlier in the lesson I told you logarithms were the inverse of exponentials. ▪ When it comes to graphing logarithms, make a table of the logarithm in exponential form and switch your x and y values. ▪ Furthermore everything vertical becomes horizontal and everything horizontal becomes vertical (this is in respects to your asymptotes).
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Example 6: Find the inverse of the following and graph the inverse x -2 2 04 110 228 x 2 40 101 282
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Homework: Page 277 17-30 all (29-30 don’t describe the domain and range of each function)
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