Question 987414
Take logarithms of both sides of the equation and this gives a linear equation.  Also take the logarithms of the y-coordinates of your given points and then use these as points for your linearized form of the equation.  You can then use your earlier learned concepts and skills about linear equations and lines.


After done correctly, if using base-ten logarithms, the equation should be equivalent to {{{log(10,y)=(log(10,b))x+log(10,a)}}}, and your converted given points are  (1, log(6)) and  (-1, log(1.5)).


Use these two points and the formula for slope based on two known points.
{{{log(10,b)=(log(10,6)-log(10,(3/2)))/(1-(-1))}}}
Keep working with that to simplify as much as possible, and you should find  {{{log(10,b)=log(10,2)}}}
meaning obviously,
{{{highlight(b=2)}}}
;
You still want to determine the value for "a".  You can do this...