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

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Presentation transcript:

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

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

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

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.

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.

Solving a Logarithmic Equation

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

Solve an Exponential Equation that is quadratic in form

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

This is an APPROXIMATE solution. Solve using your graphing calculator