Lesson 1.1
Lesson 1.2
Lesson 1.3
Lesson 1.4
Misc.
100
What is a logarithm?
The POWER of an exponent!
100
Evaluate
log_3(243)
5
100
What does "inverse" means?
Switch x and y
100
What is the value of "e".
2.718
100
What is my favorite quirk from My Hero Academy?
All for One
200
What is the base of
log(x)
10
200
Evaluate
log_7(49) + log_9(729) - lne
4
200
Given the function, find its inverse.
f(x) = 5^(x+3)
f^-1(x) = log_5(x)-3
200
$2,154.04
200
How many pets I have?
1
300
Convert to an exponent
log_2(1024)=10
2^10 = 1024
300
Which two integers is the log between:
log_4(1/100)
Between -3 and -4
300
Find the inverse:
h(x) = 1/2 ln(x+9)-4
h^-1(x) = e^(2x+8) -9
300
24.31 grams
300
How long have I been a teacher in Revere?
11 years.
400
Convert to a log
e^(x-4) = k
ln(k) = x - 4
400
Evaluate
log_125(25)
2/3
400
Find the inverse:
m(x) = 2^(x^2 - 10x + 25)
y = 5 +- sqrt(log_2(x))
400
The initial population of a colony of bacteria in a petri dish is 1500. The colony grows at a rate of 5.7% per hour. The next observed population of the colony of bacteria was 2800. How many hours passed between observations?
t ~~ 10.95 or 11
400
Will we have alot of HW?
YES
500
Convert to an exponent
log_(1/x)(15-y) = 13cd
(1/x)^(13cd) = 15-y
500
Evaluate
4ln(1) * [log_9(3)-log_9(1/27)]
0
500
Given the function, evaluate the inverse:
v(x) = log(x^2 + 16x + 64)
y = -8+- sqrt(10^x)
500
A radioactive isotope decays continuously from an initial quantity of 12,000 to 1,600 over the course of 8 days. What is the decay rate (per day) of the isotope as a percentage?
k ~~ -0.25186
500
What is my favorite grade to teach?
11-12 grade! I can't pick a favorite...I'm sorry...