General Log Info
Properties of Logs
Common/Natural Logs
Solve
Random
100
The exponential form of this is what?
100
Condense the following: log3(3)+log3(x2-2)
log3(3x2-6)
100
This number is the base of the Natural Logarithm
What is e or Euler's number
100
log5(2x-3)=2
What is 14
100
The ___ and ___ of a log must be positive.
base and argument
200
What is the exponential term in the following equation?13-4log3(x-5)=20
log3(x-5)
200
This can be written as a single logarithm:
What is 
200
Solve:
7(4)2x-1-5=16
x=0.896
200
Solve for x to 3 decimal places:
-3+5(2)x=12
What is 1.585
200
81-2x=.5
What is 2/3
300
A logarithmic function is the inverse of these functions.
What are Exponential Functions
300
Expand the following: (hint: power property)
log10(72)
What is: 2log107
300
What is the exact value of log10(10)
1
300
eln(5x-9)=1
What is 2?
300
Joe recently ordered a cup of coffee at the Original Pancake House. Once the coffee was poured, it cooled down exponentially towards room temperature over time. The exponential function T(x)=120(.8)x+75 represents the temperature of Joe's coffee (in degrees Fahrenheit) x minutes after it was poured.
How long (in minutes) will it take the coffee to reach 95 degrees Farenheit?
approximately 8.03 minutes
400
In the logarithmic function, what is considered the output?
exponent
400
This can be written as the sum and difference of multiple logarithms:
ln(x2)-ln(4)
What is:
ln(x2/4)
400
Solve:
13-2e5x+3=2
x=-0.259
400
log5(2x-7)=log5(3x-9)
What is no solution?
400
Solve the following logarithmic equation:
log.75(20)-log.75(x)=2
What is: 35.56
500
The approximate value of e? (no calculator)
What is 2.718
500
This is a property of logarithms and has a value:
What is zero
500
Find the exact value of
10log(5)
What is:5
500
log2x+log2(x-2)=3
What is 4?
500
5+8log4(x)=-19
What is 1/64