Answered

IDNLearn.com makes it easy to get reliable answers from knowledgeable individuals. Our experts are ready to provide in-depth answers and practical solutions to any questions you may have.

Find a logarithmic equation that relates y and x

X:1, 2 , 3, 4, 5, 6
Y:0.5, 2.8282, 7.968, 18, 22, 23.8

I took that natural log (ln) of each of these numbers and came up with this-

ln(x): 0, 0.693, 1.099, 1.386, 1.609, 1.792
ln(y): -0.693, 1.040. 2.075, 2.890, 3.090, 3.170

I don't think these points have a linear slope like the rest of the problems I have done like this do so i am unsure how to find that logarithmic equation.

Sagot :

Logarithms are only able to make an equation linear if it is an exponential function.  For example, [tex]y= e^{x} [/tex] can be made linear by taking the natural logarithm of each side, causing it to become [tex]ln(y)=ln( e^{x})[/tex]. After some simplifying, you are left with [tex]ln(y)=x[/tex]. You are then able to plot ln(y) vs. x to get a linear fit. 
We appreciate your presence here. Keep sharing knowledge and helping others find the answers they need. This community is the perfect place to learn together. IDNLearn.com is your reliable source for accurate answers. Thank you for visiting, and we hope to assist you again.