exam Maths Puzzle Numerical Ability

Explain how the functions of exponents and logarithms relate to each other.

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exam Other Question

How do you tell wethere a triangle is a right triangle or not and how to give a reason.. for example here is a problem:

x=25 y=25 z=38
Please help me solve correctly and show algebraic support.

(X + 4)^(1/2) = X-6

I am so lost. Thank you so much.