What is ln(2)ln((2y)/(0.5)) ?

The solution to ln(2)ln((2y)/(0.5)) is ln(2)(ln(2y)-ln(0.5))

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simplify ln(2)ln((2y)/(0.5))

simplify

ln (2) ln (\frac{2 y}{0.5})

ln (2) (ln (2 y) - ln (0.5))

Solution steps

ln (2) ln (\frac{2 y}{0.5})

Apply log rule:

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

ln (\frac{2 y}{0.5}) = ln (2 y) - ln (0.5)

= ln (2) (ln (2 y) - ln (0.5))

ln (2 e^{x + 1})

ln (\frac{3}{ln ( 4 )})

ln (\frac{5}{1000000})

\frac{1}{2} ln (\frac{28}{34})

ln (\frac{e ^{9}}{11})

What is ln(2)ln((2y)/(0.5)) ?
The solution to ln(2)ln((2y)/(0.5)) is ln(2)(ln(2y)-ln(0.5))