Graphing Exponential Functions
Solving Exponential Equations
Compound Interest
Logs/Log Functions
Log Equations and Properties
100
Does y=2^x+1 represent exponential growth or exponential decay?
Exponential Growth
100
Solve for x: 5^(3-2x)=5^(-x)
x=3
100
In the compound interest formula, what does n represent?
The number of compounding periods each year
100
log base 5 (125)=?
3
100
Write in log form: 9^(-1)=1/9
log base 9 (1/9)=-1
200
Does y=2*0.25^(x+2) represent exponential growth or exponential decay?
Exponential Decay
200
Solve for x: 4^(2x+3)=1
x=-3/2
200
Find the balance of a bank account after 7 years if $700 is deposited initially, with 4.3% interest compounded monthly.
$945.34
200
log base 16 (4)=
0.5
200
Solve for x: log base 6 (x)+log base 6 (x-9)=2
x=12,-3
300
What is the horizontal asymptote of y=-0.5*5^(x-2)?
y=0 (the x-axis)
300
Solve for x: 2^(6x)=32^(x-2)
x=-10
300
How much money is in a retirement account after 20 years if $5000 was invested at 6.05% compounded weekly?
$16,755.63
300
log base 2 (?)=3
?=8
300
Solve for x: 3log base 2 (x)=log base 2 (8)
x=2
400
What is the horizontal asymptote of y=2^(x+1)-3?
y=-3
400
You begin an experiment with 7500 cells. After 4 hours there are 23,000 cells. What is the exponential function that models the growth of this population? For an extra 100 points...the population is growing by what percent per hour?
y=7500(1.323^x) about 32% growth per hour
400
If a bank account started with $120, and seven years later contains $500, what has the annual interest rate been?
22.6%
400
What is the domain and range of y=3log base 10 (x) +1?
Domain: x>0 Range: all real numbers
400
T or F... log base 8 (19x)=19log base 8 (x)
False
500
Identify the domain and range of y=-3*0.4^(x-4)+2.
Domain: all real numbers Range: y<2
500
T or F... 4^(x-2)=0 has a solution.
(Refer to the graph shown)
500
What would be a more beneficial change to a 5-year loan at 8% interest compounded monthly: reducing the term to 4 years or reducing the interest rate to 6.5%?
Reducing the term... The multiplier is 1.3756 for the 4-year and 1.3828 for the 6.5%
500
Why can you not take the log of 0?
Because no power on a number can result in zero.
500
Simplify x^(3log base x (2)-log base x (5)) to find an exact numerical value.
x=8/5
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