Use the laws of logarithms to write each expression as a single logarithm. (a) 3log(x) - 4log(y) = (b) —In(x) — 3ln(y) — 6ln(z) = (c) in(x + 3)³ – 1⁄2 [in(x6) – In(x² + 4)²] =

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A: To simplify 35+710.

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A: To evaluate the integration.

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A: To simplify the expression means writing it in the simplest form.

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A: This can be solved using geometry and trigonometry rule.

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A: Use 2 chords power theorem

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A: It's trigonometric question so I'm providing hand written solution for better understanding.

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A: Will use basic trigonometry to solve this. Particularly we will use sine of x.

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A: We can use the concept of Pythagoras theorem to solve the given problem.

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A: