Evaluate the logarithm:
log 100
Condense and simplify:
log_6 4 + log_6 9
2
What is the equation for compound interest when interest is compounded continuously?
A(t)=Pe^(rt)
Solve for x:
log_3 (x-7)=3
x=34
Describe the transformations of the following function from the parent function f(x)=5^x:
g(x)=5^(x-2)+6
Right 2
Up 6
Name this person!
Bad Bunny
or
Benito Antonio MartÃnez Ocasio
Evaluate the logarithm:
log_4 64
3
Expand the logarithm fully:
ln frac(a)(c)
ln a - ln c
What is the equation for exponential decay?
y=a(1-r)^t
Solve for x:
2^(2x)=16
x=2
What is the asymptote of the following function?
y=2^(x-5)-10
y=-10
What OPRF team is going to state this weekend and had a hallway parade during advisory this past Tuesday?
Cheer
Evaluate the logarithm:
log_3 frac{1}{27}
Rewrite as a single logarithm:
2log y - log 6
log frac{y^2}{6}
The equation below represents a town's population after t years. What is the decay rate as a percentage?
P=36600(0.946)^t
5.4%
Solve for x. Round to four decimal places.
3^(x-4)-5=1
x=5.6309
What is the asymptote of the following function?
y=log_4(x-1)+7
x=1
Find f^-1(x) given f(x)=log_5(x+7)-9
f^-1(x)=5^(x+9)-7
Evaluate the logarithm:
log_64 8
frac(1)(2)
Expand the logarithm fully:
log_6 (3x)^4
log_6 81 + 4log_6 x
4log_6 3 + 4log_6 x
A lake has a frog population of 236 frogs, how many frogs will be in the lake in 5 years if the growth rate is 12%? Round to the nearest whole number.
416 frogs
Solve for x. Round to four decimal places. Check for extraneous solutions.
ln(-2x+6)=5
x=-71.2066
State the domain of the following function:
y=log(x+3)+9
(-3, oo)
What is the OPRF school motto?
Those Things That Are Best
Evaluate the logarithm:
log_125 frac(1)(25)
-\frac(2)(3)
EXPAND and SIMPLIFY the logarithm:
log_3(\frac(\sqrts)(t))
1/2log_3s-log_3t
Val makes a $7,000 investment at an interest rate of 8% that compounds quarterly. Find the value of the investment after 9 years. Round to the nearest cent.
$14,279.21
Solve for x. Check for extraneous.
log_2(x-2)+log_2(x+1)=2
x=3
x=-2 is extraneous
State the end behavior of the following function:
y=frac(1)(2)(4)^(x-6)+5
As x->-oo,y->5
As x->oo,y->oo
Oscar nominations were announced on Jan. 22. Which film received a record 16 nominations?
Sinners