SOLUTION: I think this question requires logarithms Given the equation y=a*b^x find the values of a and b for the curve that passes through the points (-2, 1) and (2,5) Sorry if it's t

Question 992730: I think this question requires logarithms
Given the equation y=a*b^x find the values of a and b for the curve that passes through the points (-2, 1) and (2,5)
Sorry if it's the wrong section, but I don't really know what to do.
Answer by josgarithmetic(39620) (Show Source): You can put this solution on YOUR website!
Your model in general is useful also for the logarithms of its left and right side
members.
Choose either base 10 or e. Here will be using base 10.

You now want to adjust your given points to use instead of the y coordinates as given
because that is how the equation has been treated. Your points to use in the green-outlined equation
must now be (-2, log(10,1)) and (2, log(10,5)).
Those points, if decimal form will help, (-2,0) and (2,0.6990).
-
Again, these points are for the LINEAR equation outlined in green - NOT for the original model
of .

Now you have the two points, treated for their logarithms of y, and you can find the
vertical axis intercept which is and the slope which is .
That allows you to find a and b.

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