Question

Brainliest Answer and 50 Points

Write the following expression as a single term:
3[2 ln(x - 1) - lnx] + ln(x + 1)

A.) [3(x - 1)^2(x+1)] / x
B.) (x-1)^6 / x(x+1)
C.) (x-1)^6(x+1)^3 / x^3
D.) (x-1)^6(x+1) / x^3

* the ^ symbol represents an exponent, as an example, (x-1)^6 / x means the quantity of (x-1) to the sixth power divided by x.

Answer 1

$3(2\ln(x-1)-\ln x)+\ln(x+1)$
$6\ln(x-1)-3\ln x+\ln(x+1)$
$\ln(x-1)^6+\ln x^{-3}+\ln(x+1)$
$\ln(x-1)^6x^{-3}(x+1)$
$\ln\dfrac{(x-1)^6(x+1)}{x^3}$

which presumably is supposed to match (D), although the $\ln$ is missing.