Log Functions
Properties of Logs
Common/Natural Logs
Computing or Solving
Graphing Logarithms
100
The exponential form of this is what?
100
This is the definition of one of the properties of logarithms
What is the Product Property of Logarithms
100
This number is the base of the Natural Logarithm
What is e or Euler's number
100
This can be simplified:
What is 1
100
The vertical asymptote of the graph
x = -1
200
The one word description of a logarithm
A logarithm is an exponent
200
This can be written as a single log:
4log2A+6log2B
What is log2A4B6
200
A logarithm with no explicit base is named this type of a logarithm
What is a Common Logarithm
200
This can be simplified:
What is 0?
200
Describe the shift
log4 (x - 7) + 5
right 7, up 5
300
A logarithmic function is the inverse of these functions.
What are Exponential Functions
300
This can be written as a single logarithm
What is:
300
The value of log10000 is this.
What is 4?
300
Solve for x: 7x=738
What is 3.393?
300
Find the End Behavior
f(x)=log2(x+6)-1
x approaches infinity f(x)= positive infinity
x approaches -6 f(x)=negative infinity
400
Express in log form: 9x=50
What is log950=x
400
This can be written as the sum and difference of multiple logarithms:
What is:
400
This has an exact value:
What is 1/3
400
Solve for x: 8(12)x=112
What is 1.062?
400
find the x-intercept for f(x)=log2(x+8)-4
x=8 (8,0)
500
This logarithm can be rewritten:
500
0 (zero)
500
Compute using the change of base theorem:
log37
What is 1.77
500
Solve for t: 1000 = 500e.06t
What is 11.55?
500
WORTH 1500 POINTS
Find the end behavior, x-intercept, vertical asymptote and shifts of this function
Log2(x+4)-3
end behavior
X-->-4 f(x) is - infinity
x--> infinity F(x) is positive infinity
X-intercept = x=4 (4,0)
vertical asymptote= x= -4
shifts: left 4 down 3