What is derivative of ln(sqrt(4x-3))+ln(2x) ?

The solution to derivative of ln(sqrt(4x-3))+ln(2x) is derivative of ln(sqrt(4x-3))+ln(2)+ln(x)

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simplify derivative of ln(sqrt(4x-3))+ln(2x)

simplify

\frac{d}{d x} (ln (4 x - 3)) + ln (2 x)

\frac{d}{d x} (ln (4 x - 3)) + ln (2) + ln (x)

Solution steps

\frac{d}{d x} (ln (4 x - 3)) + ln (2 x)

Apply log rule:

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

ln (2 x) = ln (2) + ln (x)

= \frac{d}{d x} (ln (4 x - 3)) + ln (2) + ln (x)

ln (2.4 \cdot 1 0^{- 12})

lo g_{10} (24) - lo g_{10} (6)

lo g_{10} (24) - lo g_{10} (4)

- (\frac{4}{6} \cdot lo g_{2} (\frac{4}{6}) + \frac{2}{6} \cdot lo g_{2} (\frac{2}{6}))

lo g_{7} (\frac{1}{343} x)

What is derivative of ln(sqrt(4x-3))+ln(2x) ?
The solution to derivative of ln(sqrt(4x-3))+ln(2x) is derivative of ln(sqrt(4x-3))+ln(2)+ln(x)