Rewrite
Expand and Condense
Solve
Interest
Miscellaneous
100
Rewrite the following log as an exponent:
log_4 x=9
What is 4^9=x?
100
Expand the following log:
log(2*5*x)
What is log(2)+log(5)+log(x)?
100
Solve the following for x (round to the hundredth if needed):
log_5(x)=log_5(7)
What is x=7?
100
A $20,000 new car loses 15% of it's value each year. After five years, determine what the car is worth.
What is $8,874.11?
100
Despite its name, this “cute” Himalayan mammal is not closely related to the giant panda and actually belongs to its own unique family, Ailuridae.
What is the red panda?
200
Rewrite the following exponent as a log:
11^x=19
What is log_11 19=x?
200
Condense the following log:
ln(-16)-ln(2)+ln(15)
What is ln((-16)/2 *15)?
200
Solve the following for x (round to the hundredth if needed):
ln(8x)=4
What is x=6.82 ?
200
A magic genie gives you a purse that compounds whatever money you put in it continuously by 50% but once you open the purse again it stops working forever. You put in $5 (the only money you have on you) and wait as long as you can. After 3 years you decide to finally cash in on all your riches. Determine the amount of money
What is $22.41?
200
Named after a German engineer who patented it in 1902 while working for Robert Bosch GmbH, this type of forced-induction system uses exhaust gases to spin a turbine that compresses intake air and increase engine power.
What is a Turbocharger?
300
Rewrite the following as an exponential:
lnx=13
What is e^13=x?
300
Expand the following log:
ln(3*x)^3
What is 3ln(3)+3ln(x)?
300
Solve the following for x (round to the hundredth if needed):
log_9(x+6)-log_9(x)=log_9(2)
What is x=6?
300
A lender gave you $1500. After three years of compounding monthly the current balance is $2,876.44. Determine the interest rate of the loan.
What is 22%?
300
First cultivated in Mesoamerica and once used as currency by the Aztec civilization, the fermented seeds of this plant are the primary ingredient used to make chocolate.
What is the Cacao Tree?
400
Rewrite the following as a single exponent:
ln(-9)-ln(x)=16
What is e^16=(-9)/x?
400
Condense the following log:
2log_5 (9)-3log_5 (x)+log_3(7)
What is log_5((9^2)/x^3)+log_3 (7)?
400
Solve the following for x(round to the hundredth if needed):
16^(x+1)=1/(2^(3x-2)
What is (-2)/7 ?
400
A young 21 year old has lofty dreams of having $100,000 in his retirement account by the age of 30. If the fund they are looking at has an average rate of return of 7% and and compounds daily, determine the initial fund to fulfill this retirement fantasy.
What is $53,262.40?
400
In To Kill a Mockingbird by Harper Lee, this reclusive neighbor ultimately saves Scout Finch and Jem Finch from Bob Ewell, revealing the true identity behind the mysterious gifts left in a tree knothole.
Who is Boo Radley?
500
Rewrite as a single exponent:
2log(-3)+4log(x+1)=x-7
You do not need to simplify
What is 10^(x-7)=9(x+1)^4 ?
500
Expand and simplify the following log:
(4ln(3*5x))/(2ln(9))
What is ln(625x^4) ?
500
Solve the following for x(round to the hundredth if needed):
log_7(x)+log_7(3x^2-4x+147)=log_7(196)
What is x=4/3, +-7i?
500
A mutual fund has an annual rate of return of 7% and compounds continuously. If you started with $5,000 and ended with $11,581.83, then determine how long you kept your money in the fund.
What is 12 Years?
500
In 1637, while reading Arithmetica by Diophantus, this French mathematician scribbled a note claiming he had discovered a “truly marvelous proof” that the equation x^n+y^n=z^n has no integer solutions for n>2, though the margin was too small to contain it.
Who is Pierre de Fermat?