What is ln((2(1)-3)/(3(1)-1)) ?

The solution to ln((2(1)-3)/(3(1)-1)) is ln(-1)-ln(2)

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simplify ln((2(1)-3)/(3(1)-1))

simplify

ln (\frac{2 ( 1 ) - 3}{3 ( 1 ) - 1})

ln (- 1) - ln (2)

Solution steps

ln (\frac{2 ( 1 ) - 3}{3 ( 1 ) - 1})

Apply log rule:

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

ln (\frac{2 ( 1 ) - 3}{3 ( 1 ) - 1}) = ln (2 (1) - 3) - ln (3 (1) - 1)

= ln (2 \cdot 1 - 3) - ln (3 \cdot 1 - 1)

ln (2 \cdot 1 - 3) = ln (- 1)

ln (3 \cdot 1 - 1) = ln (2)

= ln (- 1) - ln (2)

- 16 ln (2) - e^{2} + 16 ln (- 2) + \frac{160}{3} + \frac{1}{e ^{2}}

ln (\frac{- 1}{5})

2 lo g_{5} (3) + lo g_{5} (10)

lo g_{b} (x^{2})

lo g_{10} (\frac{4 b}{5})

What is ln((2(1)-3)/(3(1)-1)) ?
The solution to ln((2(1)-3)/(3(1)-1)) is ln(-1)-ln(2)