log_a(x)

log_{1/a}(x)

a^x

{1/a}^x

punts

CGE 2009

a = 5 (slider from 2 to 10, step 1)
f(x) = lg(x) / lg(a)
A: (a, f(a))
b = Segment(A, (a, 0.0))
c = Segment(A, (0.0, f(a)))
B = (1, 0)
d = false
g(x) = lg(x) / lg(1.0 / a)
e = false
h(x) = a^(x)
i = false
p(x) = (1.0 / a)^(x)
j = false
k = false
C: (a, g(a))
l = Segment((a, 0.0), C)
m = Segment((0.0, -1.0), C)
D: (a, h(a))
E = (0, 1)
F: (-1.0 * 1.0 * a, p(-1.0 * 1.0 * a))
n = Segment(D, (a, 0.0))
q = Segment(D, (0.0, h(a)))
r = Segment(F, (-1.0 * 1.0 * a, 0.0))
s = Segment(F, (0.0, p(-1.0 * a)))