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Download Section 7.5 Exponential and Logarithmic Equations Review
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Transcript
Section 7.5 Exponential and Logarithmic Equations Review converting between exponential and logarithmic forms: x = by is equivalent to logbx = y Solving Exponential Equations: 1. Isolate the base with the exponent on one side of the equation. 2. Write each side using the same base with an exponent if possible; then use Equality of Exponents Law to set the exponents equal to each other. OR 3. Change the equation to logarithmic form and solve. OR 4. Take the log or ln of both sides of the equation and solve. (Use properties to bring the exponent down power property or inverse property) Examples: Logarithmic Equations: 1. Condense logs into a single log on one side of the equation or as a single log on each side of the equation. 2. Change to exponential form and solve OR 3. Use properties of logs to simplify and solve OR 4. "Drop" the log from each side of the equation (if they have the same base and coefficient = 1) 5. Check solutions in the original equation. (Remember the domain is positive numbers only...you cannot take the log of a negative number or zero!) Examples: Application Example
