exam Maths Puzzle Numerical Ability

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

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exam Other Question

Can you explain how to solve for x?

4x+5=cx+2

Thank you!
I can sure use some help on this please.
Geometry
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