1. Section 4.5 Exp. & Log Equations
Chapter 4 – Exponential and Logarithmic Functions
Section 4.5 Exp. & Log Equations
4.5 - Exp. & Log Equations

2. Solving Exponential Equations
Isolate the exponential expression on one side of the equation.
Take the logarithm of each side, then use the Laws of Logarithms to “bring down the exponent.”
Solve for the variable.
4.5 - Exp. & Log Equations

3. Examples – pg. 338
Find the solution of the exponential equation, rounded to four decimal places.
4.5 - Exp. & Log Equations

4. Solving Logarithmic Equations Type 1
Type 1 equations are when not all terms are logarithms.
Steps:
Isolate the logarithmic term on one side of the equation.
Use the Laws of Logarithms to combine the logarithmic terms.
Write the equation in exponential form (or raise the base to each side of the equation).
Solve for the variable.
Check your solutions in the ORIGINAL problem.
4.5 - Exp. & Log Equations

5. Examples Solve the logarithmic equations below.
4.5 - Exp. & Log Equations

6. Solving Logarithmic Equations Type 2
Type 2 equations are when all terms are logarithms.
Steps:
Use the Laws of Logarithms to combine the logarithmic terms.
Set the argument on the left equal to the argument on the right.
Solve for the variable.
Check your solutions in the ORIGINAL problem.
4.5 - Exp. & Log Equations

7. Example Solve the logarithmic equation below.
4.5 - Exp. & Log Equations

8. Examples
Solve the logarithmic (literal) equations below for the specified variable of y.
4.5 - Exp. & Log Equations

9. More Examples – pg. 338 Solve the logarithmic equation for x.
4.5 - Exp. & Log Equations