Use the properties of logarithms and exponents to answer correctly the questions of this quiz.

1: Simplify the expression:

2: If log_{y}x = -5, calculate log_{y}x^{3}y^{4}.

3: Simplify the expression:

4: Simplify the expression:

5: Simplify the expression:

6: Simplify the expression:

7: If and , then

8: If and , then

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