Linearization of a logarithmic function

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I've following function which should be linearized:

$$f(x,y)=0.25\left(\ln\left(\dfrac{0.1x+100}{\sqrt{ y+20}}\right)\right)$$

After applying some basic rules, I got this function:

$$0.25\ln(0.1x+100)-0.125\ln(y+20)$$

How do I get rid of the natural logarithm in this function to linearize it?