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Mathematics 18 Online
OpenStudy (anonymous):

Which of the following represents the graph of the function f(x) = log 5 x – 3 ?

OpenStudy (anonymous):

OpenStudy (anonymous):

Is it the second one?

OpenStudy (anonymous):

Just to clarify, is it \(\large f(x)=log_5(x-3)\) ?

OpenStudy (anonymous):

yes.

OpenStudy (calculusfunctions):

@CliffSedge I think it is.

OpenStudy (anonymous):

Ok, you can probably determine it from finding the x- and y-intercepts.

OpenStudy (anonymous):

When x=0, y is the log of a negative number, which isn't real, so there is no y-intercept.

OpenStudy (anonymous):

When y=0, x-3=1, so the x-intercept is 4.

OpenStudy (calculusfunctions):

OK first, if\[f(x)=\log_{b}(x - c)\]then x = c is the equation of the vertical asymptote, and x > c.

OpenStudy (calculusfunctions):

There is only one graph from the four options, where what I said is true. Thus the information I provided is sufficient to answer this question @CharletteAnne

OpenStudy (anonymous):

So its d?

OpenStudy (calculusfunctions):

Yes, Perfect!!

OpenStudy (calculusfunctions):

Do you understand?

OpenStudy (anonymous):

totally!

OpenStudy (calculusfunctions):

Great!

OpenStudy (anonymous):

Thanks!

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