4.4_bzca5e - accident increases exponentially as the...

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Section 4.4 Exponential and Logarithmic Equations
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Exponential Equations
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Example 3 2 Solve for x: 64 32 x x + =
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Example Solve for x: 3 21 x =
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Example 2 3 1 Solve for x: 3 7 x x + - =
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Logarithmic Equations
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Logarithmic expressions are defined only for logarithms of positive real numbers. Always check proposed solutions of a logarithmic equation in the original equation. Exclude from the solution set any proposed solution that produces the logarithm of a negative number or the logarithm of 0.
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Example 2 Solve for x: log ( 5) 4 x + =
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Example Solve for x: 4ln(3 ) 12 x =
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Example Solve for x: ln(1) ln(3 2) ln( ) x x - - =
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Example Solve for x: 3log log 27 x = -
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Example Solve for x: log( 3) log( 3) log x x x + = + +
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Applications
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Visualizing the Relationship Between Blood Alcohol Concentration and the Risk of a Car Accident 12.77 Medical research indicates that the risk of having a car
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Unformatted text preview: accident increases exponentially as the concentration of alcohol in the blood increases. The risk is modeled by R=6e where x is the blood al x cohol concentration and R, given as a percent, is the risk of having a car accident. What blood alcohol level corresponds to an 80% chance of an automobile accident? Example Formula for Compound Interest A=P 1 How long will it take $3,000 to grow to $30,000 at 5% annual interest compounded semi-annually. nt r n + (a) (b) (c) (d) Solve for x: ln(x+3)=6 6 6 3 3 3 6 e e e e--(a) (b) (c) (d) 2 1 4 Solve for x: 7 3 x-= 4ln3 2ln 7 ln 7 ln3 2ln 7 ln 7 4ln3 4ln3 ln 7 2ln 7 + +...
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4.4_bzca5e - accident increases exponentially as the...

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