Bonus
Rewriting Logarithms and Exponentials
Applications of Exponential Equations
Solving Exponential Equations
Solving Logarithmic Equations
100
These countries made up the Axis of powers in WWII
What is Germany, Italy, and Japan
100
Write the exponential equation 4^5= 1,024 in logarithmic form.
What is log (base 4) 1,024 = 5 ?
100
If $4,500 is invested at 5% for five years what will be the balance if it is compounded continuously?
What is $5,778.11
100
Solve: 8^(2x)=8^(x+7)
What is x=7?
100
Solve: log(base 1/7)(7x+3)=log(base 1/7)(2x+13)
What is x=2
200
The names of one of the first astronauts that landed on the moon in 1969
Neil Armstrong or Buzz Aldrin
200
Write the exponential equation 27^ (1/3) = 3 in logarithmic form.
What is log (base 27) 3 = 1/3 ?
200
In 1997, the whitetail deer population in Acadia National Park was tracked at 670 deer. During the next 20 years, it is predicted that the population will grow by about 2% per year. Predict the deer population in 2014.
What is 938 deer?
200
Solve: 25^(x-4)=5^(3x+1)
What is x=-9 ?
200
Solve: log (base 3) x = 5
What is x = 243 ?
300
Alcapone was sentenced to prison for this crime
What is Tax evasion?
300
Write the exponential equation (1/2)^-3=8 in logarithmic form.
What is log (base 1/2) 8 = -3
300
A corporate jet originally costs $17,550,000. If its value depreciates by 5% per year, what will its value be after 10 years?
What is $10,507,833.28.
300
Solve: e^(2x)=e^(x+4)
What is x=4?
300
Solve: log(base 5)25^(3x)
What is 6x
400
This Byzantine city was renamed IStanbul after being captured by the Ottoman Empire.
What is Constantinople
400
Expand ln(x^2y)^(1/3)
What is (2/3)lnx + (1/3)lny
400
If $4,500 is invested at 5% for four years what will be the balance if it is compounded quarterly?
What is $5,489.50.
400
Solve: 2ln(x+3)=ln(13x+3)
What is x=6 and x=1.
400
Solve: 2log(base 6)2=log(base 6)(4x+6)
What is x=-1/2.
500
Marie Antoninette's country of origin
What is Austria
500
Condense log2x+log3x-logx into one log expression.
What is log(6x)
500
The half life of the isotope 33 is 1,225 years. After 50 years there is 5 grams remaining. How many grams will there be after 678 years?
3.505 g
500
Solve: 16^(x+1)=64^(2x+1)
What is x=-1/4
500
Solve: (1/2)^log(base 2)x
What is (1/x).
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