Exponential and Logarithmic Equations and Inequalities How do

Exponential and Logarithmic Equations and Inequalities An exponential equation is an equation containing one

Exponential and Logarithmic Equations and Inequalities Solving Exponential Equations Solve the equation. Holt Mc.

Exponential and Logarithmic Equations and Inequalities The formula for continuously compounded interest is A

Exponential and Logarithmic Equations and Inequalities Economics Application 11. What is the total amount

Exponential and Logarithmic Equations and Inequalities Economics Application 12. In how many years will

Exponential and Logarithmic Equations and Inequalities Lesson 9. 2 Practice A Holt Mc. Dougal

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Exponential and Logarithmic Equations and Inequalities • How do we solve exponential and logarithmic equations and equalities? • How do we solve problems involving exponential and logarithmic equations? Holt. Mc. Dougal Algebra 2 Holt

Exponential and Logarithmic Equations and Inequalities An exponential equation is an equation containing one or more expressions that have a variable as an exponent. To solve exponential equations: • Try writing them so that the bases are all the same. • Take the logarithm of both sides. Holt Mc. Dougal Algebra 2

Exponential and Logarithmic Equations and Inequalities Solving Exponential Equations Solve the equation. Holt Mc. Dougal Algebra 2

Exponential and Logarithmic Equations and Inequalities The formula for continuously compounded interest is A = Pert, where A is the total amount, P is the principal, r is the annual interest rate, and t is the time in years. Holt Mc. Dougal Algebra 2

Exponential and Logarithmic Equations and Inequalities Economics Application 11. What is the total amount for an investment of $500 invested at 5. 25% for 40 years and compounded continuously? A = Pe rt A = 500 e 0. 0525(40) A ≈ 4083. 08 Substitute 500 for P, 0. 0525 for r, and 40 for t. Use the ex key on a calculator. The total amount is $4083. 08. Holt Mc. Dougal Algebra 2

Exponential and Logarithmic Equations and Inequalities Economics Application 12. In how many years will it take an investment of $1000 at 6. 5% interest compounded continuously to reach $1800? A = Pe rt 1800 = 1000 e 0. 065 t Substitute 1800 for A, 1000 for P, and 0. 065 for r. Solve for t. It will take 9 years to reach $1800. Holt Mc. Dougal Algebra 2

Exponential and Logarithmic Equations and Inequalities Lesson 9. 2 Practice A Holt Mc. Dougal Algebra 2