- 指數是個成長率相當快的函數。
- 自然界很多現象都是指數成長、指數變化。如何用指數函數來描述這些關係。
- 指數關係的數值往往數字太大不方便計算,對數則把焦點放在次方,讓計算得以簡化。
- 取對數可以化乘為加、化次方為乘法的概念。
- 掌握指對數函數圖形的特性。
- Exponential and logarithmic functions
- Understanding linear and exponential models https://www.khanacademy.org/math/algebra2/exponential_and_logarithmic_func/exp_growth_decay/e/understanding-linear-and-exponential-models
- Comparing growth rates of exponentials and polynomials https://www.khanacademy.org/math/algebra2/exponential_and_logarithmic_func/exp_growth_decay/e/comparing-growth-rates-of-exponentials-and-polynomials
- Constructing linear and exponential functions https://www.khanacademy.org/math/algebra2/exponential_and_logarithmic_func/exp_growth_decay/e/constructing-linear-and-exponential-functions
- Using logarithms to solve exponential equations https://www.khanacademy.org/math/algebra2/exponential_and_logarithmic_func/exponential-modeling/e/using-logarithms-to-solve-exponential-equations
- Modeling with exponential functions https://www.khanacademy.org/math/algebra2/exponential_and_logarithmic_func/exponential-modeling/e/modeling-with-exponential-functions
- Graphs of exponentials and logarithms https://www.khanacademy.org/math/algebra2/exponential_and_logarithmic_func/log_functions/e/graphs-of-exponentials-and-logarithms
- Logarithms logarithms-tutorial
- Evaluating logarithms https://www.khanacademy.org/math/algebra2/logarithms-tutorial/logarithm_basics/e/logarithms_1
- Evaluating logarithms 2 https://www.khanacademy.org/math/algebra2/logarithms-tutorial/logarithm_basics/e/logarithms_1.5
- Understanding logarithms as inverse exponentials https://www.khanacademy.org/math/algebra2/logarithms-tutorial/logarithm_basics/e/understanding-logs-as-inverse-exponentials
- Operations with logarithms https://www.khanacademy.org/math/algebra2/logarithms-tutorial/logarithm_properties/e/logarithms_2