Evaluating Logarithms
Laws of Logarithms
Inverse Functions and Domain
Tables and Graphs
100
log_3(27)=
3
100
Use laws of logarithms to expand.
log_3(x*y)=
log_3(x)+log_3(y)
100
What is the inverse of
e^x
ln(x)
100
Where does the graph of f(x) have an asymptote?
f(x)=log_2(x)-1
x=0
200
log_2(64)=
6
200
Use laws of logarithms to expand.
log_5(3x^2)
log_5(3)+2log_5(x)
200
what is the domain of
log(x)
x>0
or
(0,oo)
200
Write a rule for the function f(t) given the table below.
f(t)=log_4(t+3)
300
log_3(1/9)=
-2
300
Use laws of logarithms to expand.
log((2x)/y)
log(2)+log(x)-log(y)
300
Write the inverse function of
f(x)=4e^x
ln(x/4)
300
Write a rule for the function f(t) given the table below.
f(t)=log_5(t-1)
400
log_125(5)=
1/3
400
Use laws of logarithms to expand.
log((3x)^2/y)
2log(3)+2log(x)-log(y)
400
What is the domain of
ln((x-1)/-2)
x<1
or
(-oo,1)
400
List at least two points on the graph of
f(x)=log_2(x)-1
(1/2,-2)
(1,-1)
(2,0)
(4,1)
500
log_27(9)=
2/3
500
Use laws of logarithms to expand.
log_2((7x^2)/(3y^4))
log_2(7)+2log_2(x)-(log_2(3)+4log_2(y))
log_2(7)+2log_2(x)-log_2(3)-4log_2(y)
500
Write the inverse of the function and state the domain of the inverse.
f(x)=-4e^(x+3)
f^-1(x)=ln(x/-4)-3
Domain: x<0 or
(-oo,0)
500
List at least two points on the graph of
f(x)=4+log_2(x)
(1/2,3)
(1,4)
(2,5)
(4,6)