The Basics
Level 1
Level 2
Level 3
Common Sense
100
The input and output of a logarithm?
log base b of x equals a
What is x=input and a=output.
100
Log base 2 of 4=?
What is 2
100
Evaluate
ln base of lxl= e to the 5
What is x= plus/minus e to the e to the 5
100
Solve
2+log base 3 of (2x+5) -log base 3 of x= 4
What is x= 5/7
100
The answer to a logarithm?
What is an exponent
200
The inverse of a log?
What is an exponential function.
200
Solve for x
Log base 3 of x= 4
What is x=81
200
Evaluate
ln of (x^2 -4)= 2
What is the square root (e^2 +4)
200
Solve
2+ 7ln of x=7
What is x=e^5/7
200
The base of a common log?
What is 10
300
The log base b of x + log base b of y equals?
What is the log base b of xy
300
Solve for x
Log base 25 of x= 1/2
What is x=5
300
The graph of f(x)= log base 5 of (x+5) compares to the f(x)= log base 5 of (x) how?
What is log base 5(x+6) is plotted to the left 6 units
300
Expand
ln of 5x^2/y^6 2^5
What is ln of 5+ 2ln of x-5ln of 2
300
The base of a natural log?
What is e
400
The log base b of M to the K equals?
What is Klog base b of M
400
Solve for x
Log of x= -1
What is x= 1/10
400
Solve
2^t-3 =8
What is t=6
400
Write as a single log
Simplify log of 3-log of 6-log of 5
What is -1
400
The answer to a log is undefined when?
What is when it is set equal to a negative number
500
The log base b of M= log base b of N if and only if?
What is M=N
500
Evaluate
ln of -e to the 6=?
What is undfined
500
Solve
1/5log(x+6)-1=0
What is x=999,994
500
Evaluate
log base 2 of 48-1/3log base 2 of 27=?
What is 4
500
The basic shape of a common log function?