Log Properties
Condense:
log x + log y
log(xy)
Linear, Quadratic, or Exponential?
A gym’s customers must pay $50 for a membership, plus $3 for each time they use the gym.
Linear
2^x=8
log_2(8)=x
What is the name of our current principal here at WHS?
Dr. Hubbard
Condense:
log2a - log2b
log2(a/b)
Linear, Quadratic, or Exponential?
A bank account starts with $10. Every month, the amount of money in the account is tripled.
Exponential
Convert to exponential form:
log_(1/3)(x+2)=4
(1/3)^4=(x+2)
What school just won the NCAA Men's Basketball Tournament (March Madness)?
University of Florida
Condense the expression below into a single logarithm. Write your answer in simplest form.
4log(3) - 2log(3)
log(34/32) = log(32) = log(9)
A science experiment involves periodically measuring the number of mold cells present on a piece of bread. At the start of the experiment, there are 50 mold cells. Each time a periodic observation is made, the number of mold cells triples.
Write an equation to model the scenario.
y = 50(3)x
log_6(36)
Chicago is the 3rd largest city in the U.S. Name the two that are larger.
New York City, Los Angeles
Expand the logarithm:
log2(x12y)
12log2(x) + log2(y)
Julie gets a pre-paid cell phone. Initially she has a $40.00 balance on the phone. Each minute of talking costs $0.15. Let x stand for the amount of time in minutes that Julie has talked on the phone, and let f(x) stand for the remaining dollar value of the phone. Write an equation modeling this scenario.
f(x) = 40 + 0.15x
Solve for x
log4(x+5) = 3
59