What is simplify-2ln((3e^{-n^3+nx})/x) ?

The solution to simplify-2ln((3e^{-n^3+nx})/x) is -2(ln(3e^{-n^3+nx})-ln(x))

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simplify-2ln((3e^{-n^3+nx})/x)

simplify

- 2 ln (\frac{3 e ^{- n^{3} + n x}}{x})

- 2 (ln (3 e^{- n^{3} + n x}) - ln (x))

Solution steps

- 2 ln (\frac{3 e ^{- n^{3} + n x}}{x})

Apply log rule:

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

ln (\frac{3 e ^{- n^{3} + n x}}{x}) = ln (3 e^{- n^{3} + n x}) - ln (x)

= - 2 (ln (3 e^{n x - n^{3}}) - ln (x))

= - 2 (ln (3 e^{- n^{3} + n x}) - ln (x))

\frac{1}{3} ln ((x + 2)^{3}) + \frac{1}{2} ln (\frac{x}{( x ^{2} + 3 x + 2 ) ^{2}})

- lo g_{10} (1.2 \cdot 1 0^{- 12})

lo g_{4} ((\frac{w ^{4} u ^{4}}{v})^{2})

ln (\frac{395}{373})

\frac{4 ln ( 2 )}{ln ( 10 )} + 2

What is simplify-2ln((3e^{-n^3+nx})/x) ?
The solution to simplify-2ln((3e^{-n^3+nx})/x) is -2(ln(3e^{-n^3+nx})-ln(x))