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# Combining Complex Natural Logarithms

ALGEBR-LLL4AV

Using the rules of logarithms, write:

$$\frac{2\log(x-5)}{\log(e)}+\ln\left(x^2+1\right)-5\ln(x-1)$$

...as a single logarithm.

A

$\ln\left(\cfrac{(x-5)^2\left(x^2+1\right)}{(x-1)^5}\right)$

B

$\ln\left(\cfrac{2(x-5)\left(x^2+1\right)}{5(x-1)}\right)$

C

Cannot be written as a single logarithm

D

None of these