Interest
Exponential Equations
Logarithmic Equations
Properties of Logarithms
Review
100
Tommy borrows $45,000 at an interest of 5% annually and has to pay the money back in 5 years. What does he have to pay back?
What is $57,432.67
100
3^x = 81
x = 4
100
3 = log(base 4) x
x = 64
100
Simplify: log(base3) 2 + log(base3) 5
log(base3) 10
100
What is the GCF of 6xy and 15x?
3x
200
A bank lends someone $4,000 and gets compounded continuously at an interest rate of 2.0%, how much will they get back in 8 years?
What is $4,694.04
200
5^x = 125
x = 3
200
x = log(base2) 32
x = 5
200
Simplify: log(base7) 8 - log(base7) 2
log(base7) 4
200
Simplify: The square root of 75
5 root 3
300
A man gets a mortgage on his house for $400,000. He gets an interest rate of 3.8% annually. How much will he have to pay back in a decade.
What is $580,809.25
300
10^x = 345
x = 2.54
300
7 = log(base 3) x
x = 2187
300
Simplify: log(base4) 2 + log(base4) 10 - log(base4) 4
log(base4) 5
300
Factor: x^2 + 5x - 24
(x + 8)(x - 3)
400
The population of a country in 2002 is 40,000 and will grow at a rate of 5.3% per year, what is the population in 2013.
What is 70,594.70 people
400
4^x = 88
x = 3.23
400
x = log(base3) 122
x = 4.37
400
Simplify: log(base3) 6 + log(base3) 2x - log(base3) 3x
log(base3) 4
400
Solve by factoring: 6x^2 - 24 = 0
x = 2 or -2
500
If Janet gets a job that pays $25,000 and her pay goes up 3% a year. What will her pay be after one decade?
What is $33,597.91
500
2^x = 2540
x = 11.31
500
x = log(base 7) 90
x = 2.31
500
EVALUATE: (log(base6) 3 + log(base6) 12) - log(base3) 3
1
500
Factor: 12x^2 - x - 6
(3x + 4)(4x - 3)
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