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对数函数的性质与应用
对数遵循哪些与指数法则类似的结构规则？
1. Introduction
Introduction
2. Key properties of logarithms
Key properties of logarithms
3. The graph of the natural logarithm
The graph of the natural logarithm
4. Why the product rule for logs works
Why does log base 10 of (a times b) equal log a plus log b?
5. Solving an exponential with logs
Solve 3^t = 5. What is t, to five decimal places?
6. Solving a decay with logs
Solve 3.7(0.9)^(0.3t) + 1.5 = 2.1. What is t, to two decimal places?
7. Solving a natural log equation
Solve ln(t) = -2. What is t, to five decimal places?
8. Comparing a logistic-like curve with a log
The functions f(t) = 1 - e^(-(t-1)) and g(t) = ln(t) share which properties?
9. Transforming a log function
How is r(t) = a + b ln(t - c) obtained from L(t) = ln(t)?
10. A logarithm cannot take a zero argument
The logarithm of zero is undefined for every base.