STANDARD 11, 13, 14, 15: LOGARITHMS
In its simplest form, a logarithm answers the question:
How many of one number do we multiply to get another number?
Example
How many 2s do we multiply to get 8?
Answer: 2 × 2 × 2 = 8, so we needed to multiply 3 of the 2s to get 8
So the logarithm is 3
This is read "Log base 2 of 8 equals 3"
We would write "the number of 2s you need to multiply to get 8 is 3" as
How many of one number do we multiply to get another number?
Example
How many 2s do we multiply to get 8?
Answer: 2 × 2 × 2 = 8, so we needed to multiply 3 of the 2s to get 8
So the logarithm is 3
This is read "Log base 2 of 8 equals 3"
We would write "the number of 2s you need to multiply to get 8 is 3" as
Log Properties
Condensing and Expanding Logs
Expand: to make larger, longer
Condense: to make smaller, simpler
We use log properties to expand logs (take one log and make it into many logs) and condense logs (take multiple logs and simplify them into one log).
Condense: to make smaller, simpler
We use log properties to expand logs (take one log and make it into many logs) and condense logs (take multiple logs and simplify them into one log).
Video for more examples: http://www.virtualnerd.com/algebra-2/exponential-logarithmic-functions/logarithm-properties/logarithm-properties-applications/simplify-log-product-property
Logarithm Practice Problems | |
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