Errors in CAS and Geometry

[klesl]

for x=2.0001
x^2-30=-26
ln(x-2)=-9.21
-26 doesn't equal to -9.21

A little bit mathematics:
ln(x-2), where x is close to 2 can be rewritten as ln(d), d=x-2=1/10^n=ln(1)-ln(1/10^n)=0-ln(1)-ln(10^n)=0-0-n×ln(10)=-2.303n,
n is number of decimal places (order), e.g. x=2.0001 so n=4 and ln(2.0001-2)=-4*2.303=-9.21
Based on the calculation above the order is between 11 (-25.328) and 12 (-27.631) and with respect to the order are whole number only (you cannot have 11.5 decimal places) this solution clearly doesn't exists