Lesson Logarithms Basics
A logarithm looks like this
A logarithm looks like this
log2 8 = 3
A logarithm looks like this
and has three parts
log2 8 = 3
A logarithm looks like this
and has three parts
the base
log2 8 = 3
A logarithm looks like this
and has three parts
the base
base
log2 8 = 3
A logarithm looks like this
and has three parts
the base, the argument
log2 8 = 3
A logarithm looks like this
and has three parts
the base, the argument
log2 8 = 3
argument
A logarithm looks like this
and has three parts
the base, the argument, and the answer
log2 8 = 3
A logarithm looks like this
and has three parts
the base, the argument, and the answer
log2 8 = 3
answer
base
?
log2 8 = 3
argument
?
answer
?
The base is
The argument is
The answer is
b
?
logb a = c
c
?
a
?
A logarithm is asking a question
A logarithm is asking a question
log2 8 = ?
What exponent can be put on 2
A logarithm is asking a question
log2 8 = ?
What exponent can be put on 2
A logarithm is asking a question
log2 8 = ?
What exponent can be put on 2 to get 8?
A logarithm is asking a question
log2 8 = ?
What exponent can be put on 2 to get 8?
A logarithm is asking a question
log2 8 = ?
What exponent can be put on 2 to get 8?
A logarithm is asking a question
21 = 2
log2 8 = ?
What exponent can be put on 2 to get 8?
A logarithm is asking a question
21 = 2
22 = 4
log2 8 = ?
What exponent can be put on 2 to get 8?
A logarithm is asking a question
21 = 2
22 = 4
log2 8 = ?
23 = 8
What exponent can be put on 2 to get 8?
A logarithm is asking a question
21 = 2
22 = 4
log2 8 = ?
23 = 8
What exponent can be put on 2 to get 8?
A logarithm is asking a question
21 = 2
22 = 4
log2 8 = ?
23 = 8
So the answer is 3
What exponent can be put on 2 to get 8?
A logarithm is asking a question
21 = 2
22 = 4
log2 8 = 3
23 = 8
So the answer is 3
What exponent can we put on 3 to get 9?
log3 9 =
1
2
3
4
log2 8 =
log5 25 =
Logarithms can be switched to exponential form.
Logarithms can be switched to exponential form.
log2 8 = 3
Logarithms can be switched to exponential form.
log2 8 = 3
This is logarithmic form
Logarithms can be switched to exponential form.
23 = 8
log2 8 = 3
Logarithms can be switched to exponential form.
23 = 8
log2 8 = 3
this is exponential form
To change between the two just remember
Logarithms can be switched to exponential form.
23 = 8
log2 8 = 3
To change between the two just remember
Logarithms can be switched to exponential form.
the base of the log becomes the base of the exponent
23 = 8
log2 8 = 3
To change between the two just remember
Logarithms can be switched to exponential form.
the base of the log becomes the base of the exponent
the argument becomes the answer
23 = 8
log2 8 = 3
To change between the two just remember
Logarithms can be switched to exponential form.
the base of the log becomes the base of the exponent
the argument becomes the answer
23 = 8
log2 8 = 3
To change between the two just remember
Logarithms can be switched to exponential form.
and the answer becomes the exponent
the base of the log becomes the base of the exponent
the argument becomes the answer
23 = 8
log2 8 = 3
Switch to exponential form
Log3 9 = 2
3
=
Switch to exponential form
Log4 16 = 2
2
=
Switch to logarithmic form
53 = 125
log5
=
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