Exponential and Logarithmic Equations. Exponential Equations Exponential Equation: an equation where the exponent includes a variable. To solve, you take.

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Presentation transcript:

Exponential and Logarithmic Equations

Exponential Equations Exponential Equation: an equation where the exponent includes a variable. To solve, you take the logarithm of each side.

Solve

Definition Logarithmic Equations: An equation that includes a logarithmic expression.

Example 1

Example 2

Example 3

Example 4

Example 5

Example 6

Word Problems The value of a new car purchased for $24,900 decreases by 10% per year. After how many years will the car be worth half its purchase price?

Compounded Interest r = rate t= time (in years) P = principal(initial amount) A= Ending amount n= how many times in a year: Ex: if monthly n=12

Example Suppose you invest $5000 at an annual interest rate of 6.9% compounded monthly. A.) How much will you have in the account after 10 years? B.) Determine how much more you would have if the interest were compounded continuously.