properties
What rule is this
logaxb= blogax
Power Rule
log(x) + log(y) - log(z)?
log(xy/z)
solve
log3(3x+7)= 2
x= 2/3
where P0 is the initial population, k is the growth rate constant, and t is time in years. If the population of a town triples in 5 years, find the growth rate constant k if the initial population was 500.
P(t)= P0ekt
k= ln(3)/5 =0.2197
What is my Major
Civil Engineering
what is the quotient rule
loga(x/y)= logax - logay
Condense
2log6u - 8log6v
log6 ( u2 / v8)
log4(x+3)−log4(x−1)=1
x=7/3
A(t)=A0e-kt
where A0 is the initial amount of the substance and k is a constant. If the half-life of a substance is 10 years, and you start with 200 grams, how much of the substance will remain after 20 years?
50 grams
This tool is commonly used to cut wood by hand, and it’s perfect for when you want to feel like a lumberjack... or a Viking.
what is an Axe
Loga(xy)= logax + logay
product rule
logx + logy +3logz
log(xyz3)
log2(x+4) log2(x)=2
x=4/7
where I0 is the reference intensity (usually the threshold of hearing, I0= 10-12 watts per square meter). If a sound has an intensity of 10-6 watts per square meter, what is its decibel level?
d= 10Log (I/ I0)
60 decibels
how much wood could a woodchuck chuck if a woodchuck could chuck wood?
700 pounds or none
logax = logbx / logba
Change of base
Expand
log8(x3/y)2
6log8x-2log8y
log3(2x+1)−log3(x−2)=1
x=7
where A is the amplitude of the seismic waves, and A0 is a reference amplitude. If the amplitude of the seismic waves from an earthquake is 100 times greater than the reference amplitude, what is the magnitude of the earthquake?
M= Log10 (A/ A0)
Earthquake magnitude = 2
what was the theme of my last set of slides?
Accepted answers
Wood/ log themed
What is the equality rule?
loga(x)=loga(y) then x=y
log[(x3y1/2)/(z2w1/3)
3logx +1/2logy -2logz -1/3logw
log(2x-3) + log(x-1)=log(12)
[5- (971/2)]/4 and [5+ (971/2)]/4
A=P⋅(1+r/n)nt
where P is the principal, r is the annual interest rate, and t is time in years. If an investment grows from $1000 to $1500 in 3 years, what is the annual interest rate? If using compounding interest.
14.47%
What is my Favorite class this semester
What is?
Sailing