Question

Find a logarithmic equation that relates y and x

Answer 1

Logarithms are only able to make an equation linear if it is an exponential function.  For example, $y= e^{x}$ can be made linear by taking the natural logarithm of each side, causing it to become $ln(y)=ln( e^{x})$. After some simplifying, you are left with $ln(y)=x$. You are then able to plot ln(y) vs. x to get a linear fit.