SOLUTION: How do you get an exponential equation from this points (0,4), (1,6), (2,9), (3,14), (4,21) and (5,31)?

Question 841236: How do you get an exponential equation from this points (0,4), (1,6), (2,9), (3,14), (4,21) and (5,31)?
Answer by josgarithmetic(39617) (Show Source): You can put this solution on YOUR website!
Plot the points on graph paper, but FIRST, TAKE THE LOGARITHMS OF THE y-coordinate VALUES! Pick either base e or base 10, one or the other; not both. You are looking for a line this way:

(Using Natural Logs as an example)
Imagine you have ordered pairs of the form, (x,y).

This is a linear equation, and your set of points might very well fit this model. The vertical axis is for , the horizontal axis is for x values, the slope is , and the vertical axis intercept is .

When you then want this back in the form of an exponential equation, setup your ln(y) equation with the k and intercept you found, and work backward using algebraic steps toward getting y as a function of x.
---- Better yet, once you have the values, just use them to directly form the exponential equation.
RELATED QUESTIONS
How do you write an equation for this table? X=1, 2, 3, 4, 5, 6, 7 Y=1, 3, 7, 15, 31,... (answered by Edwin McCravy)

Another experiment is performed using coins. This time, the experimenter starts with 4... (answered by lynnlo)

how would you do the equation 3x+21=5x+15? by doing the subtract from each side for... (answered by checkley77,eperette)

1. A rectangular room has a length of 12 feet, a width of 14 feet, and a height of 8... (answered by Fombitz)

please help me. this is my last resort 1. Find the midpoint and... (answered by Fombitz)

I need to pass the real test. So can someone please tell me if i got these questions... (answered by Alan3354)

Sir, I seek your assistance in deciphering the following problems if I may. I am totally (answered by stanbon)

I am attempting to go over my 13 yo grandson's math homework and my age has humbled me to (answered by ikleyn)