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Algebra

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Difficult

Expand Complex Logarithm

ALGEBR-MEKRLG

Using the properties of logarithms, write:

$$\log_9\left(\frac{\left(x^2+5\right)^3x^2}{2x}\right)$$

...in expanded form.

A

$3\log_9\left(x^2+5\right)+3\log_9(x)-\log_9(2)$

B

$\log_9\left(\left(x^2+5\right)^3\right)+\log_9\left(x^2\right)-\log_9\left(2x\right)$

C

$3\log_9\left(x^2+5\right)+\log_9(x)-\log_9(2)$

D

$\log_9\left(\left(x^2+5\right)^3\right)+\log_9\left(x^2\right)-\log_9(2)+\log_9(x)$

E

$\log_9\left(\left(x^2+5\right)^3\right)+\log_9\left(x^2\right)-\log_9(2)-\log_9(x)$

F

It cannot be further expanded