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Simplifying Logarithmic Expressions
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Which of the following expressions is equivalent to $$\log_6(36x^4) - \log_6(6x^2) + \log_6(\sqrt{6})$$?

A

$$3 + 2\log_6(x)$$

B

$$\frac{3}{2} + 2\log_6(x)$$

C

$$\log_6(30x^2) + \frac{1}{2}$$

D

$$2 + 2\log_6(x)$$

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