Properties of Logarithms Section 5.3 Properties of Logarithms

For a > 0, b > 0, b ≠ 1, the equations are equivalent. Exponential/Logarithmic Forms Property Definition Introduction Property For a > 0, b > 0, b ≠ 1, the equations are equivalent. Section 5.3 Slide 2

Power Property for Logarithms Power Property for Logarithms and of Equality Property For x > 0, b > 0 and, b ≠ 1 In words: A logarithm of a power of x is the exponent times the logarithm of x. For positive real numbers a, b, and c where b ≠ 1, the equations are equivalent. Property Section 5.3 Slide 3

Solve the equation Check solution: Power Property for Logarithms Solving an Exponential Equation Example Solve the equation Check solution: Solution Section 5.3 Slide 4

Power Property for Logarithms Solving an Exponential Equation Warning Watch parenthesis: Section 5.3 Slide 5

Power Property for Logarithms Solving an Exponential Equation Example Solve Solution Section 5.3 Slide 6

Power Property for Logarithms Solving an Exponential Equation Solution Continued Check solution: Section 5.3 Slide 7