What is ln(b\sqrt[4]{b/(1-b)}) ?

The solution to ln(b\sqrt[4]{b/(1-b)}) is ln(b)+ln(\sqrt[4]{b/(1-b)})

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simplify ln(b\sqrt[4]{b/(1-b)})

simplify

ln (b 4 \frac{b}{1 - b})

ln (b) + ln (4 \frac{b}{1 - b})

Solution steps

ln (b 4 \frac{b}{1 - b})

Apply log rule:

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

ln (b 4 \frac{b}{1 - b}) = ln (b) + ln (4 \frac{b}{1 - b})

= ln (b) + ln (4 \frac{b}{- b + 1})

lo g_{3} (\frac{1}{9} a^{3} b)

5 (lo g_{5} (3) + lo g_{5} (b)) - lo g_{5} (4)

- lo g_{10} (4 \times 1 0^{- 4})

ln (9 e) + ln (e^{9}) + ln (4) e^{4}

lo g_{4} (x 3 x + 8)

What is ln(b\sqrt[4]{b/(1-b)}) ?
The solution to ln(b\sqrt[4]{b/(1-b)}) is ln(b)+ln(\sqrt[4]{b/(1-b)})