What is ln(xsqrt(5/(2x+3))) ?

The solution to ln(xsqrt(5/(2x+3))) is ln(x)+ln(sqrt(5/(2x+3)))

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simplify ln(xsqrt(5/(2x+3)))

simplify

ln (x \frac{5}{2 x + 3})

ln (x) + ln (\frac{5}{2 x + 3})

Solution steps

ln (x \frac{5}{2 x + 3})

Apply log rule:

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

ln (x \frac{5}{2 x + 3}) = ln (x) + ln (\frac{5}{2 x + 3})

= ln (x) + ln (\frac{5}{2 x + 3})

- ln (1 - x) + ln (1 + x)

ln (\frac{1}{5 e})

\frac{1}{4} (ln (3 tan (\frac{x}{2} + 1)) - ln (tan (\frac{x}{2} + 3))) + c

0.423 - \frac{0.0592}{2} lo g_{10} (\frac{0.075}{0.1})

150 ln (\frac{350}{300})

What is ln(xsqrt(5/(2x+3))) ?
The solution to ln(xsqrt(5/(2x+3))) is ln(x)+ln(sqrt(5/(2x+3)))