Log Functions
Equations
Log vs.Exp
Solve me!
Graphing Logs
Misc
100
The exponential form of this is what?
100
log4 4
1
100
Rewrite the following function in the opposite form.
log81=0
80=1
100
Solve the following equations for x.
log819=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
100
When you see ln x? What is the base?
e, Euler's number, 2.718
200
In log b(x) =7, x is called this
The argument
200
log749
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
200
Does the following graph show exponential growth or decay?
What is decay
300
A logarithmic function is the inverse of these functions.
What are Exponential Functions
300
log327
3
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 up 1 unit
300
The depreciation of a car is modeled by:
V(t)=37,000⋅0.9t,
What is the initial cost of the car?
What is $37,000.
400
In the logarithmic function, what is considered the output?
exponent
400
log64 8
1/2
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
What is the horizontal asymptote for:
What is y = 3
400
Solve for x
7 (89x ) = 42
x = log 6/(9log8) = 0.096
500
When you see log x? What is the base?
What is 10
500
log4 8
3/2
500
Rewrite the following function in the exp form.
log100(1/10)=-(1/2)
100-1/2 = 1/10
500
What is x?
log4(5) + log4(x) = log4(-10 x+15)
x = 1
500
What is the asymptote of:
y = -2
500
An underwater cave displays light absorption with the equation:
log I/10 = -0.0025 x,
where I is the light intensity in lumens and x is the depth in kilometers. Determine the light intensity at a depth of 2 kilometers.
What is 9.89 lumens.