Asymptote
Find the vertical asymptote of logb(x-5).
x = 5
What is the range of the logarithmic parent function?
All real numbers (-∞, ∞)
What is the end behavior is f(x) = log(x)?
As x -> 0+, f(x) -> -∞
As x -> ∞, f(x) -> ∞
Write logb(x)=y in exponential form.
by=x
What's the inverse of a logarithmic function?
Exponential function
Find the vertical asymptote of log20(x+4).
x = -4
What is the domain of the logarithmic parent function?
x > 0
(0, ∞)
What is the end behavior is f(x) = -log(x)?
As x -> 0+, f(x) -> ∞
As x -> ∞, f(x) -> -∞
Write ax=y in logarithmic form.
loga(y)=x
What's the base of a common logarithm?
10
Find the vertical asymptote of log(x - 3/7).
x = 3/7
Find the domain of log(x+7).
x > -7
(-7, ∞)
What is the end behavior of f(x) = log(x−3/7)?
As x → (3/7)+, f(x) → −∞
As x → ∞, f(x) → ∞
Write e10=22026 in logarithmic form.
ln(22026)=10
What's the base of a natural log?
e
Find the vertical asymptote of -ln(3x+9) - 7.
x = -3
Find the domain AND range of log(2x-8).
D: x > 4
(4, ∞)
R: all real numbers
(-∞, ∞)
What is the end behavior of f(x) = ln(x)?
As x -> 0+, f(x) -> -∞
As x -> ∞, f(x) -> ∞
Write ln(4x)=y in exponential form.
ey=4x
What is the automatic base on a standard calculator when you press log?
10
Find the vertical asymptote of 47ln(12-2x) + 3.
x = 6
Find the domain AND range log(3x+9).
D: x > -3
(-3, ∞)
R: all real numbers
(-∞, ∞)
What is the end behavior of f(x) = ln(2x+6) - 5?
As x -> -3+, f(x) -> -∞
As x -> ∞, f(x) -> ∞
Write log2(x)=-f(x) in exponential form.
2-f(x)=x
What must logarithm bases always be?
A positive number