Log Functions
Equations
Log vs.Exp
Solve me!
Graphing Logs
100
The exponential form of this is what?
100
log4 2
1/2
100
Rewrite the following function in the opposite form.
log81=0
80=1
100
Solve the following equations for x.
log497=x
x= 1/2
100
Describe the transformations that take place to get the graph of g(x) from the parent function f(x).
f(x) = log4(x)
g(x) = log4(x+5)
shift 5 units to the left
200
In log b(x) =7, x is called this
The argument
200
log49 7
1/2
200
Rewrite the following function in the exponential form.
log3(1/27)=-3
3-3 = 1/27
200
Solve the following equations for x.
logbb=x
x =1
200
Describe the transformations that take place to get the graph of g(x) from the parent function f(x).
f(x) = log3(x)
g(x) = log3(x) -2
Down 2 units
300
A logarithmic function is the inverse of these functions.
What are Exponential Functions
300
log4 8
3/2
300
Rewrite the following function in the log form.
103=1000
log 1000= 3
300
Solve the following equations for b.
logb(64) = 3
b = 4
300
Describe the transformations that take place to get the graph of g(x) from the parent function f(x).
f(x) = log7(x)
g(x) = log7(x-3)+1
to the right 3 units and down 1 unit
400
In the logarithmic function, what is considered the output?
exponent
400
log3 9
2
400
Rewrite the following function in the log form.
9(1/2)=3
log9(3) = 1/2
400
Solve the following equations for x.
log5(x) = -3
x = 1/125
400
The vertical asymptote for f(x) = log4(x-1.5)+ 22/5
What is x = 1.5
500
When you see log x? What is the base
What is 10?
500
log3 3
1
500
Rewrite the following function in the exp form.
log100(1/10)=-(1/2)
100-1/2 = 1/10
500
Does the point ( 19, 2) meet the conditions of
y = log4(x-3) +5
No
500
Name 3 points on the graph of
g(x) = log4(x+5) -1
(-4. -1) (-1, 0) (11, 1)