Author Topic: How Does One Logarithm?  (Read 175 times)

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Offline Vanilla The Fox

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How Does One Logarithm?
« on: February 26, 2017, 09:53:12 pm »
I completely zoned out in class for the 3 lessons we were learning about it, I didn't pick anything up... So... What are they? ;w;"
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Re: How Does One Logarithm?
« Reply #1 on: February 26, 2017, 10:56:14 pm »
If y = bx,

then logb(y) = x

We would call this log base-b of y.



Lets say we have log2(x) = 3 and want to solve for x.

We can reorganize this into x = 23

Therefore x = 8



In the same way, log2(32) = x will yield:

2x = 32

Therefore x = 5



Compare the graph of these exponential and logarithmic functions.



Notice how they are reflections of each other across the line y = x.

In case you didn't already cover this, that means they're inverse functions.



Here are some rules to remember while dealing with logarithms:



Hope this helps!
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Offline Vanilla The Fox

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Re: How Does One Logarithm?
« Reply #2 on: February 27, 2017, 12:01:23 am »
If y = bx,

then logb(y) = x

We would call this log base-b of y.



Lets say we have log2(x) = 3 and want to solve for x.

We can reorganize this into x = 23

Therefore x = 8



In the same way, log2(32) = x will yield:

2x = 32

Therefore x = 5



Compare the graph of these exponential and logarithmic functions.



Notice how they are reflections of each other across the line y = x.

In case you didn't already cover this, that means they're inverse functions.



Here are some rules to remember while dealing with logarithms:



Hope this helps!

Oh mai I missed allot
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