MTH 102 University of Nevada Las Vegas Logarithmic Functions Properties of Logarithms Worksheet

Math 1025.2 Logarithmic Functions; Properties of Logarithms
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Converting from Exponential to Logarithmic Form
Converting from Logarithmic to Exponential Form
Evaluating Logarithms
Graphing Logarithmic Functions
Natural Logarithms
Logarithmic Properties
Rewriting Logarithms
Applying the Properties of Logarithms
Logarithmic Functions
Logarithmic Functions are __________________ to ____________________.
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Definition: For x > 0, and b =/ 1, the logarithmic function with base b is
Here is what is happening:
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Math 102
Converting from Exponential to Logarithmic Form:
Example 1:
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Math 102
Converting from Logarithmic to Exponential Form:
Example 2:
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Evaluating Logarithms:
Example 3:
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Math 102
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Graphing a Logarithmic Function:
Example 4: Graph
y = log 2 (x)
Graphs of Logarithmic functions:
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Equation:
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x − intercept :
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y − intercept :
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Domain:
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Range
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Vertical Asymptote:
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Math 102
Common Logarithms:
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Definition: Common logarithms are
Note: Calculators use common logarithms.
Natural Logarithms:
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Definition: The logarithmic function with
Logarithmic Properties:
Basic Properties of Logarithms:
For b > 0, b =/ 1,
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Example 5:
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Math 102
For b > 0 , b =/ 1 , k is a real number, and M and N positive real numbers,
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Example 6:
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Example 7:
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Math 102
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Example 8:
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