What is ln(5bsqrt((b+1)/(b-1))) ?

The solution to ln(5bsqrt((b+1)/(b-1))) is ln(5)+ln(b)+ln(sqrt((b+1)/(b-1)))

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simplify ln(5bsqrt((b+1)/(b-1)))

simplify

ln (5 b \frac{b + 1}{b - 1})

ln (5) + ln (b) + ln (\frac{b + 1}{b - 1})

Solution steps

ln (5 b \frac{b + 1}{b - 1})

Apply log rule:

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

ln (5 b \frac{b + 1}{b - 1}) = ln (5) + ln (b) + ln (\frac{b + 1}{b - 1})

= ln (5) + ln (b) + ln (\frac{b + 1}{b - 1})

ln (\frac{1}{1 + x})

ln (3) - ln (1) + ln (2)

ln (x (x^{3} + 1)^{\frac{1}{4}})

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

ln (- 4 e^{- 3 x})

What is ln(5bsqrt((b+1)/(b-1))) ?
The solution to ln(5bsqrt((b+1)/(b-1))) is ln(5)+ln(b)+ln(sqrt((b+1)/(b-1)))