BC Pre-Calculus 12 Logarithms

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• Logarithms: operations, functions, and equations
• Applying laws of logarithms
• Evaluating with different bases
• Using common and natural logarithms
• Exploring inverse of exponential
• Graphing, including transformations
• Solving equations with same base and with different bases
• Solving problems in situational contexts

1. f(x)=\log x
   1. Sketch f(x) and label 2 points
   2. Domain?
   3. Range?
   4. Equation of the vertical asymptote?
   5. If possible, sketch y=\log (-x)
   6. Sketch y=-\log (x-2)
   7. Sketch y=\log (2x-6)
   8. Sketch y=\ln \left(\frac{2}{3}\right)