Properties of Logarithms
Logarithmic & Exponential Form
Logarithmic Equations
"e"
Factoring
100
If there is no base in a logarithm what does it automatically equal?
10
100
what is the equation for logarithmic form?
logba=x
100
what is the first step when solving logarithmic equations?
Condensing the logarithm
100
logarithmic functions with base "e" are called what?
natural logarithm
100
log33 = log3x - log33
x= 9
200
In a logarithm subtraction goes with what?
Division
200
what is the formula for exponential form?
bx=a
200
If two logs have the same base then what can you do?
cross them out and solve like a regular math equations.
200
what is the value of "e"
2.71828......
200
log5 + log2 = x
x= 1
300
In a logarithm adding goes with what?
Multiplication
300
convert into exponential form: log39=2
32=9
300
At the end when checking your answer what can NOT be in the logarithmic equation?
A negative
300
Write this equation in logarithmic form:
ln24=x
300
logx16 = 4
x= 2
400
Where should you move the exponent too?
logkmw
the front: wlogkm
400
convert into logarithmic form:132=168
log13168=2
400
Solve: log9(6-3w)=log9(-2w)
No Solution
400
condense this expression into a single logarithm:
ln 3+ ln 6
ln(48)
400
x = log84
x= 2/3
x= 0.6
500
Condense: 2log38=
log382=log364
500
convert into log form: 83= 6
log86=3
500
Solve: log5 + log20 = x
x= 2
500
Factor the following:
log3x + log3(x+6) = 3
x= 3
500
2x+1= 32
x= 4
600
Evaluate.
64
600
Evaluate 
UNDEFINED
A logarithm of a negative number does not existnin set of real numbers.
600
logc (x+2) = logc (x-1) + logc (x-2)
x=4
600
What is the base of the logarithmic expression?
10
600
9x-1= 81x
x= -1
700
Evaluate
3
700
log 4(x3 z2) / (y5)
700
Solve for x. Round your answer to the nearest ten thousandths.
x= - 6.1421
700
True or False?
True
700
5x = 6252
x= 8