Question 249519
your equation is:


y = -log(3.5,(-x))


graph of this equation looks like this:


{{{graph (600,600,-5,5,-5,5,-log(3.5,(-x)))}}}


you can use the conversion formula to change the base of the logarithm so you can solve it using your calculator.


the conversion formula is:


log(a,(x)) = log(b,x) / log(b,a)


what this formula says is:


log of x to the base of a equals the log of x to the base of b divided by the log of a to the base of b.


in your problem, this conversion formula becomes:


-log(3.5,(-x)) = - (log(10,(-x)) / log(10,3.5)


you can now use your calculator to solve for selected points of that log.


you get:


y = - (log(10,(-x)) / log(10,3.5)


substitute the following values for x:


y = - (log(10,-(-4)) / log(10,3.5) = -1.106589511


y = - (log(10,-(-3)) / log(10,3.5) = -.87695144


y = - (log(10,-(-2)) / log(10,3.5) = -.553294756


y = - (log(10,-(-1)) / log(10,3.5) = -0


y = - (log(10,-(-.1)) / log(10,3.5) = 1.838005394


y = - (log(10,-(-.0000001)) / log(10,3.5) = 12.86603776


the graph appears to be asymptotic at x = 0


the closer you get to 0, the bigger y gets.


the value of y is undefined at x = 0


all you need to do is plot the points on a piece of graph paper and draw the resulting curve.