Graphs
Properties of Logarithms
Exponential Equations
Solving Equations
100
This is a graph of what type of function?
What is a line?
100
ln(1)=?
What is 0?
100
The inverse of a exponential function is a ______________ function.
What is logarithmic?
100
log_3(1/3)=?
What is -1?
200
This graph could be what type of function?
What is an exponential?
200
log_7(7^5)=?
What is 5?
200
Write the inverse of
y=2^x
What is
x=2^y or y=log_2(x)?
200
log_4(x)+log_4(3)=2
What is
300
This graph could be what type of function?
What is a logarithmic?
300
Use the properties of Logarithms to rewrite the expression
ln(a)-ln(b)+ln(c)
What is
ln((ac)/b)?
300
Solve for a and b:
42=ab^6 and 15=ab^9
What is
a~~329.28 and b~~0.709
300
log_5(x)+2log_5(3)=2
What is
x=25/9?
400
A point on a graph where the concavity changes is called an ________________?
What is an inflection point?
400
Use the properties of logarithms to rewrite the following expression
log_2(m)+2log_2(n)
What is
log_2(mn^2)
400
Ms. Elliott invests $5,000 in a savings account with 3% interest compounded continuously. What is the value of the investment after 10 years?
What is $6,749.29?
400
Solve the following equation for k.
5*3^(x+2)=k*3^x
What is
k=45?
500
Write a possible equation for this graph.
What is
y=log(x+4)?
500
Solve the following equation by using properties of logarithms.
log_7(x-4)+log_7(x+2)=1
What is x=5? x=-3 is extraneous
500
Find the inverse of the exponential function
y=-5(3)^(x-1)+8
What is
f^-1(x)=log_3((x-8)/-5)+1
500
ln(3/2x+9)=1
What is
x=2/3e-6?