one concept i learned was how to solve for the inverse. By solving an inverse all you do is switch the x and y so that the for the equation you solve for y.
another thing i learned was to solve certain logarithms because of the story ms. hwong told us. for example, log base 2 of x-5=2 you move the base 2 to other side making it x-5=2^2 which equals 4 then you solve for x and you get x=9
i also learned that when you use a horizontal line test and the function does not pass then the inverse wont pass the vertical line test therefore the function is not one-to-one.
i learned that the natural log is log base of 10 and when the log dont have a base it has the base of 10.
What i dont understand is how to graph logs?
Also i dont understand how to solve natural logs and e??
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ln is the same as log but ln has a base of e (lne) and log has a base of 10 (log10)or can have other bases such as 2,3,5.... But ln has just a base of e. So when you want to get rid of log for example in:
ReplyDeletelog5x you use the inverse which is 5^log5x and you are left with just x.
Same case with ln if you have for example:
lnx you use its inverse which is e^lnx and you are left with just the x
to graph a log.. all you need is 3 points
ReplyDelete(1,0), (x,1), and (x,2)
(1,0) is a point because anything to the power of 0 is 1.
(x,1) is simply the base to the power of 1, which results in itself.
(x,2) is the base to the power of 2.
This will give you "half the graph"
To find the remaining of the graph is to use the y=x line (the graph is reflected onto the y=x line)
for further explanation.. see Jesus Tejeda's blog
To solve a natural log is simple. The best thing to do is to change "ln" to log with a base "e"
ReplyDelete