$Step%v$

研伸探究

A = Corner(4)
a = false
text01: "∵log_xa=" + (LaTeX[If[a ≟ true, "m", "24"]]) + ",\;log_ya=" + (LaTeX[If[a ≟ true, "n", "40"]]) + ",\;log_{xyz}a=" + (LaTeX[If[a ≟ true, "k", "12"]]) + ""
text02: "∴log_ax=" + (LaTeX[If[a ≟ true, "\frac{1}{m}", "\frac{1}{24}"]]) + ",\;log_ay=" + (LaTeX[If[a ≟ true, "\frac{1}{n}", "\frac{1}{40}"]]) + ",\;log_a\frac{1}{xyz}=" + (LaTeX[If[a ≟ true, "\frac{1}{k}", "\frac{1}{12}"]]) + ""
text03: "⇒log_a\frac{1}{x}+log_a\frac{1}{y}+log_a\frac{1}{z}=" + (LaTeX[If[a ≟ true, "\frac{1}{k}", "\frac{1}{12}"]]) + ""
text04: "⇒log_az=" + (LaTeX[If[a ≟ true, "\frac{1}{k}", "\frac{1}{12}"]]) + "-" + (LaTeX[If[a ≟ true, "\frac{1}{m}", "\frac{1}{24}"]]) + "-" + (LaTeX[If[a ≟ true, "\frac{1}{n}", "\frac{1}{40}"]]) + "=" + (LaTeX[If[a ≟ true, "\frac{mn-kn-km}{kmn}", "\frac{1}{60}"]]) + ""
text05: "⇒log_za=" + (LaTeX[If[a ≟ true, "\frac{kmn}{mn-kn-km}", "60"]]) + ""
n = 0 (slider from 0 to 5, step 1)
t_Q: "設 x>1,\;y>1,\;z>1,\;a>0，\;若log_xa=" + (LaTeX[If[a ≟ true, "m", "24"]]) + ",\;log_ya=" + (LaTeX[If[a ≟ true, "n", "40"]]) + ",
\\\;log_{xyz}a=" + (LaTeX[If[a ≟ true, "k", "12"]]) + " ，\;試求：\;log_za之值." + (LaTeX[If[a ≟ true, "以m,\;n,\;k\;表之", ""]]) + ""