What is simplify-a^2ln(x)-2ln(x-a)+ln(x+a) ?

The solution to simplify-a^2ln(x)-2ln(x-a)+ln(x+a) is -a^2ln(x)+ln((x+a)/((x-a)^2))

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simplify-a^2ln(x)-2ln(x-a)+ln(x+a)

simplify

- a^{2} ln (x) - 2 ln (x - a) + ln (x + a)

- a^{2} ln (x) + ln (\frac{x + a}{( x - a ) ^{2}})

Solution steps

- a^{2} ln (x) - 2 ln (x - a) + ln (x + a)

Apply log rule:

a lo g_{c} (b) = lo g_{c} (b^{a})

2 ln (x - a) = ln ((x - a)^{2})

= - a^{2} ln (x) - ln ((x - a)^{2}) + ln (x + a)

Apply log rule:

lo g_{c} (a) - lo g_{c} (b) = lo g_{c} (\frac{a}{b})

ln (x + a) - ln ((x - a)^{2}) = ln (\frac{x + a}{( x - a ) ^{2}})

= - a^{2} ln (x) + ln (\frac{x + a}{( x - a ) ^{2}})

ln (\frac{8000000}{21})

ln (\frac{20}{2})

ln (350) - ln (400 - x)

lo g_{e} (8 x^{3})

ln (\frac{1}{0.05})

What is simplify-a^2ln(x)-2ln(x-a)+ln(x+a) ?
The solution to simplify-a^2ln(x)-2ln(x-a)+ln(x+a) is -a^2ln(x)+ln((x+a)/((x-a)^2))