What is ln((1-b)(1-d)xy^{w-1}) ?

The solution to ln((1-b)(1-d)xy^{w-1}) is ln(1-b)+ln(1-d)+ln(x)+(w-1)ln(y)

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simplify ln((1-b)(1-d)xy^{w-1})

simplify

ln ((1 - b) (1 - d) x y^{w - 1})

ln (1 - b) + ln (1 - d) + ln (x) + (w - 1) ln (y)

Solution steps

ln ((1 - b) (1 - d) x y^{w - 1})

Apply log rule:

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

ln ((1 - b) (1 - d) x y^{w - 1}) = ln (1 - b) + ln (1 - d) + ln (x) + ln (y^{w - 1})

= ln (- b + 1) + ln (- d + 1) + ln (x) + ln (y^{w - 1})

Apply log rule:

lo g_{a} (x^{b}) = b \cdot lo g_{a} (x)

ln (y^{w - 1}) = (w - 1) ln (y)

= ln (1 - b) + ln (1 - d) + ln (x) + (w - 1) ln (y)

ln (\frac{1}{x ^{2}})

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ln (2^{x}) + ln (e^{x})

10 ln (\frac{1}{199})

What is ln((1-b)(1-d)xy^{w-1}) ?
The solution to ln((1-b)(1-d)xy^{w-1}) is ln(1-b)+ln(1-d)+ln(x)+(w-1)ln(y)