What is ln((ycos(y))/(dy)) ?

The solution to ln((ycos(y))/(dy)) is ln(y)+ln(cos(y))-ln(dy)

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simplify ln((ycos(y))/(dy))

simplify

ln (\frac{y cos ( y )}{d y})

ln (y) + ln (cos (y)) - ln (d y)

Solution steps

ln (\frac{y cos ( y )}{d y})

Apply log rule:

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

ln (\frac{y cos ( y )}{d y}) = ln (y cos (y)) - ln (d y)

= ln (y cos (y)) - ln (d y)

Apply log rule:

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

ln (y cos (y)) = ln (y) + ln (cos (y))

= ln (y) + ln (cos (y)) - ln (d y)

- lo g_{10} (3.3333 \cdot 1 0^{- 3})

lo g_{10} (p^{x} \cdot (1 - p)^{1 - x})

ln (x^{2} + 10 x + 24) - ln (x + 6)

ln ((a + b x) e^{4})

ln (4) - ln (33)

What is ln((ycos(y))/(dy)) ?
The solution to ln((ycos(y))/(dy)) is ln(y)+ln(cos(y))-ln(dy)