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Quiz 4.4 Logarithmic Functions

Quiz 4.4 Logarithmic Functions. State the domain of these functions y = log(x) y = log(x -4) y = ln (1 – x) Solve for the variable Why do you think we should always check our solution to a logarithmic equation? Challenge: Find the domain of. Section 4.4: Application. The formula

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Quiz 4.4 Logarithmic Functions

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  1. Quiz 4.4 Logarithmic Functions • State the domain of these functions • y = log(x) • y = log(x -4) • y = ln (1 – x) • Solve for the variable • Why do you think we should always check our solution to a logarithmic equation? • Challenge: Find the domain of

  2. Section 4.4: Application The formula models the population of Florida, A, in millions, x years after 2000. Suppose the population is 16.3 million in 2001. Determine the population of Florida in the year 2010. When will the population reach 25.2 million ?

  3. Section 4.4: Application The concentration of alcohol in a person’s blood affects a person’s risk of having an accident when driving a car. It is modeled by the equation: Suppose that a concentration of 0.04 results in 10 % (R=10) risk. What is the risk if the concentration is 0.17? Using the same k, what concentration corresponds to a risk of 100%?

  4. Section 4.5 Properties of Logarithms Condense and Expand Logarithmic Expressions. Properties: Power Rule Product Rule Quotient Rule

  5. Properties of Logarithms Change of Base Formula:

  6. Power Rule “Expanding a logarithmic expression” Rewrite using the power rule.

  7. Product Rule “Expanding a logarithmic expression” Rewrite using the Product Rule.

  8. Quotient Rule “Expanding a logarithmic expression” Rewrite using the Quotient Rule.

  9. Expand the following expressions completely

  10. Condensing Logarithmic Expressions Rewrite as a single log expression Coefficients of logarithms must be 1 before you can condense them. Hint: Rewrite as single subtraction

  11. Write the following expression as a single logarithm.

  12. Finding Inverse Functions

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