simplify ln((2y)/x)

Solution

simplify

ln (\frac{2 y}{x})

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

Solution steps

ln (\frac{2 y}{x})

Apply log rule:

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

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

= ln (2 y) - ln (x)

Apply log rule:

lo g_{c} (ab) = lo g_{c} (a) + lo g_{c} (b)

ln (2 y) = ln (2) + ln (y)

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

ln (80) - ln (180)

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- ln (\frac{- x}{A \cdot k})

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