对数运算练习1

GeoGebra 命令及参数

1. LaTeX(steps) → counter
2. LaTeX("\text{Move the slider to solve the problem}") → text0
3. LaTeX("\text{Use the buttons below to return to the original problem or}\cr\text{randomly generate a similar practice problem.}") → RandomizationText
4. Corner(1) → A
5. Corner(3) → B
6. LaTeX((((((("\text{Solve the equation }\textcolor{#006633}{" * ans) * "=") * base) * "^{\frac{a}{") * powDenom) * "}}}\text{ for }\textcolor{#006633}{a}.")) → Problem
7. LaTeX("\text{Take the logarithm of both sides. Use the number raised to a power on the right}\cr\text{as the base for the logarithm.}") → text1
8. LaTeX((((((("\textcolor{#006633}{\log_{" * base) * "}(") * ans) * ") = \frac{a}{") * powDenom) * "}}")) → text2
9. LaTeX((("\text{Multiply both sides by the denominator on the right, }\textcolor{#006633}{" * powDenom) * "}.")) → text3
10. LaTeX((((((("\textcolor{#006633}{" * powDenom) * "\log_{") * base) * "}(") * ans) * ") = a}")) → text4
11. LaTeX("\text{Calculators often have only }\textcolor{#006633}{\log_{10}}\text{ and }\textcolor{#006633}{\log_e=\ln}\text{ available so in order to obtain a}\cr\text{value, we need to use the change of base theorem.}") → text5
12. LaTeX("\text{change of base: }\textcolor{#006633}{\log_{B}(C) = \frac{\log_D(C)}{\log_D(B)}}") → text6
13. LaTeX("\text{We can change to either base }\textcolor{#006633}{10}\text{ or base }\textcolor{#006633}{e}\text{ it really doesn't matter. Let's}\cr\text{arbitrarily choose base }\textcolor{#006633}{e}.") → text7
14. LaTeX((((((((("\textcolor{#006633}{a = " * powDenom) * "\frac{\ln(") * ans) * ")}{\ln(") * base) * ")} = ") * powNum) * "}")) → text8