Exponential Equations
Exponential Graphs
Logarithmic Equations
Logarithmic Graphs
Mystery
100
Does the following equation represent exponential growth or exponential decay?
5^x
Exponential Growth
100
Does the graph represent exponential growth or exponential decay?
Exponential Decay
100
Rewrite the exponential equation in logarithmic form.
4^3=64
log_4 64=3
100
Which equation does the graph represent?
y=log_2 x
y=log_(1/2) x
y=log_(1/2) x
100
Approximately what number is e?
e≈2.718
200
Simplify.
(9e^5)/(3e^4)
3e
200
Graph the following exponential equation.
0.25^x
200
Evaluate the logarithm.
log_2 16
log_2 16=4
200
Graph the following logarithm.
log_3 x
200
Use the change of base formula to evaluate.
log_12 20
1.206
300
You deposit $5,000 in an account that earns 5% interest compounded continuously. Find the account balance after 10 years.
$8,243.61
300
Describe all transformations of g(x).
f(x)=2^x
g(x)=2^(-x)+6
Reflection over the y-axis and translation up 6.
300
Expand the logarithm.
log_8 ((xy)/z)
log_8 x + log_8 y-log_8 z
300
Describe all transformations of g(x).
f(x)=log_7 x
g(x)=3log_7 x -8
Vertical stretch by a factor of 3 and translation down 8.
300
Will interest be higher if it is compounded monthly, quarterly, or continuously?
Continuously
400
A car's value decreases each year and is represented by the following model. How many years will it take for the car's value to drop to 8.5 thousand dollars? (Graph on a calculator)
20(0.65)^t
About 2 years
400
Condense the logarithm.
2ln8+3lnx
ln64x^3
400
Evaluate the logarithm.
log_99999 1
log_99999 1=0