1. 1. Expand the following: 2. Condense the following: Warm-upWarm-up

2. How tall and wide is the arch if its curve is described by the exponential equation below

3. Summary 1. Log = number or Exponential form = number 2. Exponent = Exponent (same base) 3. Exponent = Exponent (different base) 4. log = log

4. Log and Exponential Equations can be solved using various approaches Choose an appropriate method and solve for x: Hint: Use log properties and rewrite the left side as a single log expression.

5. 4.6 Logarithmic and Exponential Equations 1.Express the left side as a single logarithm. 2. Rewrite as an exponential expression Always check your solution to assure the solution is in the domain of the problem.

6. Solving a Logarithmic Equation

7. Solve an Exponential Equation with a different base on each side. Take the natural log (base e) or log (base 10) of each side

8. Solve an Exponential Equation that is quadratic in form

9. Summary 1. Log = number or Exponential form = number 2. Exponent = Exponent (same base) 3. Exponent = Exponent (different base) 4. log = log

10. This is an APPROXIMATE solution. Solve using your graphing calculator