exam Maths Puzzle Numerical Ability

I can sure use some help on this please.
Geometry
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exam Other Question

I need some help with two problems. Thanks alot.

Solve the logrithim equation. leave answer in exact form
log x = log 2x^2 -2

solve the equation
ln 4 - ln x = 20

thanks again what is the distance between the points (3,3) and (2,1)?