Exponential and Logarithmic Equations
Learning Objectives:
1. Solve logarithmic equations using the
properties of logarithms.
2. Solve exponential equations.
3. Solve equations involving exponential
models.
1. OnetoOne Property of Logarithms
OnetoOne Property of Logarithms
In the following property, M, N, and a are positive real
numbers, with a ≠ 1.
If log_{a}M = log_{a}N, then M = N.
Example:
Check:
1. Solving Logarithm Equations
Example: Solve:
Example: Solve:
2. Solving Exponential Equations
Example:
Example:
Solve:
3. Exponential Models
The compound interest formula states that the future value of P
dollars invested in an account paying an annual interest rate r,
compounded n times per year for t years, is given by
