General
Properties of Logs
Solving and Graphing
Solve
Random
100
Solve for x
100
Condense the following: log3(3)+log3(x2-2)
log3(3x2-6)
100
Rewrite the following as a quotient of two natural logarithms.
log2(19)
ln(19)/ln(2)
100
log5(2x-3)=2
What is 14
100
The ___ and ___ of a log must be positive.
base and argument
200
Isolate the logarithmic term, but don't solve. 13-4log3(x-5)=20
log3(x-5)=-7/4
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
Solve 81-2x=.5
What is 2/3
300
A logarithmic function is the inverse of these functions.
What are Exponential Functions
300
Condense the following into a single log.
2log10(7)-log10(x)
What is: log10(72/x)
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
Rewrite the following as a single log:
log3(5+x)+log3(x2)
log3(5x2+x3)
400
Rewrite as a single logarithm. 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
Solve the following equation:
23-4log2(x+3)=21
What is -1.59
500
Solve the following equation:
log(4x+5)-log(6x-10)=1
What is 1.875 or 15/8
500
What is the vertical asymptote and x-intercept of the following logarithmic function?
y=log4(x-5)+2
VA: x=5
x-int: (5.0625 ,0)
500
log2x+log2(x-2)=3
What is 4?
500
5+8log4(x)=-19
What is 1/64