What I know
One thing that I understand is that the common base for logarithms is base 10.
One thing that I understand is that the common base for logarithms is base 10.
- when there is an equation that does not show a base after the log, it means that the base is 10 for example log(x)
- when you see something like ln(5) there is an invisible e as base
- if you wanted to solve an equation like log(100)=x, all you have to do is carry the invisible log base under the x making it 10^x. after you do that you are left with 100=10^x. all that is left to do is to make both bases similar. for example 10^2=10^x making 2=x
- in order to solve an exponential function, for example 2^x, you would need tot use a logarithm to solve it.
- for a power function like x^2, you need to do the square root of x
What I dont understand
I am having a difficulty in graphing logarithms. I am also having great trouble finding more complex inverses like f(x)=2X+1/x+3
I am having a difficulty in graphing logarithms. I am also having great trouble finding more complex inverses like f(x)=2X+1/x+3
In order to understand how to graph logs, please feel free to look at the veryy helpful blog Jesus Tejeda posted up!
ReplyDeleteTo solve more "complex" logarithms such as f(x)=2X+1/x+3, you kind of take the same steps you would take to solve a simpler problem. let me break it down for you:
ReplyDeletef(x)= 2x + 1/x+3
x= 2y + 1/y+3
(y+3) x = 2y+1/y+3 (y+3)
yx+3x=2y+1
-2y -2y
-3x -3x
yx-2y=-3x+1
y(x-2)=-3x+1
y(x-2)/(x-2)=-3x+1/(x-2)
f^-1(x0 = 1-3x/x-2
Hope this helps!
grrrr....
ReplyDeleteErik we are the same.
I would help you if i also new how to do them /:
Steph, you, aand I should join forces and study together (:
Like Denise said you just have to switch the x with the y and the y with the x. after doing that you go on on solving the problem
ReplyDelete