What is ln(3bsqrt((b+1)/(b-1))) ?

The solution to ln(3bsqrt((b+1)/(b-1))) is ln(3)+ln(b)+ln(sqrt((b+1)/(b-1)))

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simplify ln(3bsqrt((b+1)/(b-1)))

simplify

ln (3 b \frac{b + 1}{b - 1})

ln (3) + ln (b) + ln (\frac{b + 1}{b - 1})

Solution steps

ln (3 b \frac{b + 1}{b - 1})

Apply log rule:

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

ln (3 b \frac{b + 1}{b - 1}) = ln (3) + ln (b) + ln (\frac{b + 1}{b - 1})

= ln (3) + ln (b) + ln (\frac{b + 1}{b - 1})

5 ln (x) - \frac{1}{4} ln (y)

lo g_{4} (4 x^{2})

lo g_{4} (\frac{64}{x + 5})

3 lo g_{3} (x) - lo g_{3} (\frac{1}{y})

lo g_{10} (\frac{3 x}{10})

What is ln(3bsqrt((b+1)/(b-1))) ?
The solution to ln(3bsqrt((b+1)/(b-1))) is ln(3)+ln(b)+ln(sqrt((b+1)/(b-1)))