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Simplifying Logarithmic Expressions

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Which of the following is equivalent to the expression log⁡6(36x4)−log⁡6(6x2)+log⁡6(6)\log_6(36x^4) - \log_6(6x^2) + \log_6(\sqrt{6})?

A

3+2log⁡6(x)3 + 2\log_6(x)

B

log⁡6(30x2)+12\log_6(30x^2) + \frac{1}{2}

C

32+2log⁡6(x)\frac{3}{2} + 2\log_6(x)

D

2+2log⁡6(x)2 + 2\log_6(x)

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