Log Functions
Properties of Logs
Common/Natural Logs
Computing or Solving
Potpourri
100
The exponential form of this is what?
100
This is the definition of one of the properties of logarithms
What is the Product Property of Logarithms
100
This number is the base of the Natural Logarithm
What is e or Euler's number
100
Solve.
3log2(x+1) = 15
31
100
This is one of the properties of logarithms:
What is the Quotient Property of Logarithms
200
The one word description of a logarithm
A logarithm is an exponent
200
This can be written as a single log:
4log2A+6log2B
What is log2A4B6
200
A logarithm with no explicit base is named this type of a logarithm
What is a Common Logarithm
200
Solve:
.5log3(x-1) = 2
What is x=82?
200
This is what we are doing to the base numbers when we add their logarithms
What is multiplication
300
The domain of the parent logarithm function.
(0, infinity)
300
This can be written as a single logarithm
What is:
300
The value of log10000 is this.
What is 4?
300
Solve for x: 7x=738
What is 3.393?
300
This is what we are doing to the base numbers when we subtract their logarithms
What is division
400
Express in log form: 9x=50
What is log950=x
400
This can be written as the sum and difference of multiple logarithms:
What is:
400
This has an exact value: No Calculator
What is 1/3
400
Solve for x: 8(12)x=112
What is 1.062?
400
Solve:
ln(x) + ln(x+2) = ln(8)
What is: x = 2
500
List the transformations:
y = -3log2(x-5) + 1
What is 54=x
500
This is a property of logarithms and has a value:
What is zero
500
Rewrite an equivalent expression using the change of base theorem.
log37
log7/log3
500
How long would it take an investment of $25,000 to triple at 6.5% compounded continuously? (give your answer in years and days)
16 years 329 days
500
If the half life of a radioactive substance is 10,000 years, then at what rate is it decaying? (A=A0ert)
Leave your answer in scientific notation.
What is:
-6.93 x 10-5