Logs!
Properties of Logarithms
Word Problems
Solving Exponential EQ's
Solving Log EQ's
Power Functions
(500 Each)
(500 Each)
Trivia
100
Write the exponential equation
(1/2)^-3=8
in logarithmic form.
log (base 1/2) 8 = -3
100
Expand:
Log(x^4y^6)
4log(x)+5log(y)
100
If there are initially 3000 bacteria in a culture, and the number of bacteria increase by 25% each hour, how long will it take to reach 9,155 bacteria? Round to the nearest whole number.
5 hours
100
Solve:
8^(2x)=8^(x+7)
x=7
100
Solve: log x = 3
1000
100
Write a power function
y=ax^b
whose graph passes through (4, 3) and (6, 2)
y=12x^-1
100
This revolutionary product, released in 2007, reshaped mobile communications and technology.
the iPhone
200
Write the equation log (base 3) 729 = 6 in exponential form.
3^6=729
200
Expand:
log((7y)/x^4)
log(7y)+4log(x)
200
If you invest $2000 in an account earning 3% interest compounded continuously, how long will it be until you have $2500? Round your answer to 2 decimal places.
7.44 years
200
Solve:
25^(x-4)=5^(3x+1)
x=-9
200
Solve: log (base 3) x = 5
x = 243
200
What is the world's longest river?
Nile River
300
Write the equation
log 1000 = 3
in exponential form.
10^3=1000
300
Condense:
log5+log3+3logx
log(15x^3)
300
Emily purchases a new car for $15,000. Each year the value of the car depreciates by 30% of its value the previous year. In how many years will the car be worth $500?
The car will be worth $ 500 in 9.536 years.
300
Solve:
e^(2x)=e^(x+4)
x=4
300
Solve: ln x = 4 Round your answer to two decimal places.
x= 54.60
300
Write a power function
y=ax^b
whose graph passes through (5, 8) and (10, 34)
y=.278x^2.087
300
This man invented the first practical incandescent light bulb.
Thomas Edison
400
Write the equation ln(10) = 2.303 in exponential form.
e^2.303=10
400
Condense and simplify:
6log(y)+5log(x)-3log(x)
log((y^6x^2)
400
Jasmine deposits $520 into a savings account that has a 3.5% annual interest rate compounded monthly. How long will it take Jasmine's account to reach $557.65?
1.934 years
400
Solve:
3e^(3 - x)= 15
Round your answer to two decimal places.
x= 1.39
400
Solve:
3 ln x - 7 = 4
Round your answer to two decimal places.
x= 39.12
400
What was the first Pixar movie?
Toy Story
500
What is the asymptote, domain, and range of the graph of f(x)= log(x + 2) -1 ?
x= -2, domain: (-2, ∞ ), Range: (-∞ , ∞ )
500
Expand:
log((5x^3z^2)/(2y^5))
3log(5x)+2log(2z)-5log(2y)
500
A rabbit has been introduced to a farm. We start with a population of 7 rabbits. The population grows continuously at a rate of 32% each year. How long will it take the population to reach 19,000? Round to 3 decimal places.
It will take 24.707 years to reach a population of 19,000.
500
Solve:
10^(2x+1) + 2 = 4
Round your answer to two decimal places.
x = -0.35
500
Solve: 
x=5
500
Write a power function
y=ax^b
whose graph passes through (1, 1) and (3, 3)
y=1x^1
500
What is the largest animal to have ever existed?
The blue whale