Abhay G.

asked • 08/02/15

Insanely Hard Question

Find the equation of a logarithmic function y = ± loga (x + b) + c going
through (−2, 2) and (0, −2)

Lincoln B.

Hello Abhay,
 
I don't believe the question is answerable with only two points. Is there perhaps more information to the problem?
 
Lincoln
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08/02/15

Abhay G.

 this is on my homework assignment and there is no extra info
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08/02/15

Mark M.

For a system of three variables (a, b, and c), three equations are needed. Only two are given.
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08/02/15

Abhay G.

we know the value of c because c =-2 because of the y intercept
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08/02/15

1 Expert Answer

By:

Chris G. answered • 08/03/15

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The equation is in the form y=mx + b which if you remember is the basic slope formula.  Given that m is the slope and you have two points, the slope is 1/2 and b is -2.  Given this information, the slope formula would be y= - 1/2(x) - 2 which would give you the correct equation.  There may be other ways to solve it, but this is certainly one of the equations for these points.   This is a logical approach, but I do not know if this is the way your instructor wanted you to solve the problem.
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