Log Question
|dw:1373159619732:dw|
graph*
Are you supposed to graph something?
Yeah I'm supposed to graph that logarithm function
\[y=\log_{3}(x-1) \]
Is that what you are supposed to graph?
It showed it like what I posted up above, but yeah I think that's what it's supposed to be.
(1) You could put it into its exponential form and get some ordered pairs. (2) You could get some ordered pairs by choosing values of x so that x-1 will be a power of 3 (3) You could graph y = log(base3)(x) and move it one space to the right.
Oh yeah ok the one I most familiar with from the lesson is the second one. So is this correct? If x=1, y-1 If x=2, y-3 If x=3. y-9 If x=4, y-27 ?
x=1,y-0*
if you are using geobegra to graph the log use log(3,x-1) then press enter... geogebra will give it a function name... f or g or whatever
the form is log(b, x) b is the base and x is the function
If x = 2, x-1=1 and 3^0=1 which gives the ordered pair (2,0)
If x = 4, x-1=3 and 3^1=3 so y = 1 which gives the ordered pair (4,1)
k thx! :) gonna try it right now, & yep it worked. & k so \[\log _{3}(x-1) \] would be exponential form which its already in right?
If x = 10, 10-1 = 9 and 3^2=9 which gives the ordered pair (10,2)
Ok I'm sort of getting it @Mertsj but I'm confused a bit on getting the y-value. I can see it's the 3^1, 3^2, 3^3 part, but you get that by equaling out the bases right? Like for instance you have 10-1=9 & that's 3^2, so the ^2 = y right?
\[y=\log_{3}(2-1) \]
because the base of the log is 3, so that's why you had to make 9 = 3^2 right?
\[3^y=1\]
so if you want to see the values go to view and spreadsheet in column A enter 1, 2, 3, 4, 5,6 etc then in cell B1 enter log(3, A1) press enter and it returns a value... then you can copy that cell and paste the formula into the other B column cells
Okay I get it now :) Thx 2 u both @Mertsj & @campbell_st
& thx 4 showing me how 2 put logarithms on geogebra @campbell_st
yw
welcome... to input the function correctly use if cell A1 is 2 then in B1 type log(3, (A1) -1) then you will be able to create a list of points and see them on the curve good luck
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