Exponentials
What would you get when you raise a base to the power of 0?
1
Convert the following exponential into a logarithm.
45=1024
log41024 = 5
Solve for x: 2x+4= 1024
x=6
How many teams are there in the MLB?
30
Can the base of an exponential be negative? Why or why not?
It cannot be negative, because it would create a discrete graph.
Convert the following logarithm into an exponential
log36561=8
38=6561
6log3(8x+1)=24
x=10
How many wives did King Henry VIII have and what were their names?
6
Catherine of Aragon-Divorced
Anne Boleyn- Beheaded
Jane Seymour- Died
Anne of Cleeves- Divorced
Catherine Howard- Beheaded
Catherine Parr- Survived
What would be the domain and range for the following function: 3x - 4 ?
D: (-inf, + inf)
R: (-3, +inf)
What are the two special forms of logarithms and what are their bases?
Common logarithm- base of 10
Natural logarithm- base of e
6x * 62x-4 = 617
x=7
What do you call an animal that eats a variety of other organisms, including plants, animals and fungi?
Omnivore
Solve the following for x: 4x = 65536
x = 8
Solve for x. (Math-Alpha-Math)
log872=x
x= 2.06
4x * 642x = 463
x=9
Can you name 10 Western European countries?
See if student team can guess 10 countries
Raising a number/variable to the power of 1/2 is equivalent to what other operation?
Square rooting the number/variable.
What is the key relationship between exponentials and logarithms?
They are inverses!
Daily Double:
How many years has Ms. Ohayon been teaching either in general or at Longleaf?
3 years, this is year 4
Stefani Germanotta is a famous singer who is more popularly known as.... ?
Lady Gaga