When written down, how do you tell the difference between an original function or the inverse function?
f(x) vs. f-1(x)
100
If there is no base written on a logarithm, what is the base and what is the name of this particular log? (you must be able to answer all parts of the question)
base 10, common log.
100
Go to slide 6 and determine if the exponential shows growth or decay? Be able to explain.
growth
100
What are the 4 methods to solving Exponential or Log functions?
1. log properties
2. take the log of both sides
3. make both exponentials have the same base
4. inverse log property
100
What are three log properties?
Quotient, Power, Product, or Inverse
200
Go to slide 10 and find the inverse function.
x-4/5
200
Go to slide 14 and write in exponential form.
3^4=81
200
Draw an example of an exponential growth function.
varies.
200
Go to slide 2 and solve for x.
x=-3
200
What is the change of base formula?
Log (of # you were originally taking the log of) / Log (of original base)
300
Go to slide 11 and find the inverse function.
3/2x
300
Go to slide 15 and write in logarithmic form.
log base 2 (256)=8
300
Draw an example of an exponential decay function.
varies.
300
Go to slide 3 and solve for x.
x=4
300
Go to slide 7 and solve the log.
1.4315
400
Go to slide 12 and find the inverse function.
(x+11)/4
400
Go to slide 16 and solve the log.
0
400
Suppose that the number of bacteria in a culture was 1000 on Monday and the number has been decreasing at a rate of 40% per day since then. Write a function representing the decay of the culture per day.
A(t)=1000(0.6)^t
400
Go to slide 4 and solve for x.
x=2.75865
400
Go to slide 8 and simplify the log. Solve if possible.
27
500
Go to slide 13 and find the inverse function.
sq. rt (4x/3)
500
Go to slide 17 and solve the log.
5
500
Amy deposited $700 into a savings account in 2010. This particular account increases by 8.5% each year. Write an equation and predict the YEAR the value in the account will reach $1800.