What is ln((3x-2y)/(2x+2y)) ?

The solution to ln((3x-2y)/(2x+2y)) is ln(3x-2y)-ln(2x+2y)

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simplify ln((3x-2y)/(2x+2y))

simplify

ln (\frac{3 x - 2 y}{2 x + 2 y})

ln (3 x - 2 y) - ln (2 x + 2 y)

Solution steps

ln (\frac{3 x - 2 y}{2 x + 2 y})

Apply log rule:

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

ln (\frac{3 x - 2 y}{2 x + 2 y}) = ln (3 x - 2 y) - ln (2 x + 2 y)

= ln (3 x - 2 y) - ln (2 x + 2 y)

- lo g_{10} (1.58 \cdot 1 0^{- 5})

ln (\frac{e ^{x^{2}} \cdot cos ( x )}{2 x + 4})

ln (\frac{\frac{π}{4} \cdot 4 7 ^{2}}{\frac{π}{4} \cdot 3 0 ^{2}})

lo g_{10} (x^{9} z)

ln (t^{x} (1 - t)^{1 - x})

What is ln((3x-2y)/(2x+2y)) ?
The solution to ln((3x-2y)/(2x+2y)) is ln(3x-2y)-ln(2x+2y)