What is ln((bsqrt(b)a)/c) ?

The solution to ln((bsqrt(b)a)/c) is ln(b)+ln(sqrt(b))+ln(a)-ln(c)

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simplify ln((bsqrt(b)a)/c)

simplify

ln (\frac{b b a}{c})

ln (b) + ln (b) + ln (a) - ln (c)

Solution steps

ln (\frac{b b a}{c})

Apply log rule:

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

ln (\frac{b b a}{c}) = ln (b b a) - ln (c)

= ln (ba b) - ln (c)

Apply log rule:

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

ln (b b a) = ln (b) + ln (b) + ln (a)

= ln (b) + ln (b) + ln (a) - ln (c)

ln (\frac{x ^{3}}{x ^{2} + 1})

\frac{1}{2} ln (- 2)

- lo g_{10} (3.8 \cdot 1 0^{- 10})

ln (\frac{7}{2}) - 1

lo g_{10} (\frac{π ^{2}}{17})

What is ln((bsqrt(b)a)/c) ?
The solution to ln((bsqrt(b)a)/c) is ln(b)+ln(sqrt(b))+ln(a)-ln(c)