exam Maths Puzzle Numerical Ability

Find the solution of the exponential equation, correct to four decimal places.
e^-4x=6

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exam Other Question

Can you show me how to simplify or solve for "x" in the following equations?

3(x+2)=-2(x+4)

2(x+1)=4-3(2x+1)

2(x+1)-3(x+7)=2

-3.6x+3.1=3(5.2-1.2x)

I would appreciate the help! Thank You =) when a teacher gives you a problem that says determine wther the given lengths are sides of a right triangle. and the numbers are 2,2,4 and they also want an explonation of my answer what do i write?