不同底數的對數比較大小
Author: 藍邦偉  老師

x

y

參考線

不同底數的對數函數

.

,

z

y=log_2x

y=log_{\frac{1}{2}}x

y=log_3x

y=log_{\frac{1}{3}}x

$ 參考線 ：\;y=1$

A = Corner(1)
B = Corner(3)
C: (x(A), 0)
D: (x(B), 0)
u = Vector(C, D)
E: (0, y(A))
F: (0, y(B))
v = Vector(E, F)
f(x) = ld(x)
g(x) = -f(x)
p(x) = lg(x) / lg(3)
q(x) = -p(x)
O = Intersect(p, e_1, (3, 1))
P = Intersect(f, e_1, (2, 1))
Q = Intersect(g, e_1, (0.4999999976351376, 1.0000000068235506))
R = Intersect(q, e_1, (0.3333333333035014, 1.0000000000814626))
h_1 = OrthogonalLine(O, u)
i_1 = OrthogonalLine(P, u)
j_1 = OrthogonalLine(Q, u)
k_1 = OrthogonalLine(R, u)
S = Intersect(s, t)
T = Intersect(k_1, s)
U = Intersect(j_1, s)
V = Intersect(i_1, s)
W = Intersect(h_1, s)
m_1 = Segment(R, T)
n_1 = Segment(Q, U)
p_1 = Segment(P, V)
q_1 = Segment(O, W)
r = false
a = false
b = false
c = false
d = false
Q_2: 0.25 * Corner[2] + 0.75 * Corner[1]
Q_3: (x(Q_2), y(Corner[4]))
poly1, e, q_2, q_3, h = Polygon(Corner[1], Q_2, Q_3, Corner[4])
i = Segment(Q_2, Q_3)

Tool: 2D-AXIS (command 工具1)
2D-Axis
Input: A, B, C, D, E, F
Output: u, v

x

y

C: (x(A), 0)
D: (x(B), 0)
u = Vector(C, D)
E: (0, y(A))
v = Vector(E, F)