What is simplify-ln|x|-3/x+ln|x-1| ?

The solution to simplify-ln|x|-3/x+ln|x-1| is ln((|x-1|)/(|x|))-3/x

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simplify-ln|x|-3/x+ln|x-1|

simplify

- ln ∣ x ∣ - \frac{3}{x} + ln ∣ x - 1 ∣

ln (\frac{∣ x - 1 ∣}{∣ x ∣}) - \frac{3}{x}

Solution steps

- ln ∣ x ∣ - \frac{3}{x} + ln ∣ x - 1 ∣

Apply log rule:

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

ln ∣ x - 1 ∣ - ln ∣ x ∣ = ln (\frac{∣ x - 1 ∣}{∣ x ∣})

= ln (\frac{∣ x - 1 ∣}{∣ x ∣}) - \frac{3}{x}

lo g_{\frac{1}{3}} (\frac{1}{15})

lo g_{b} (6 x) + 5 lo g_{b} (x) - 4 lo g_{b} (y)

ln (\frac{( λ ^{(x_{1})} e ^{(- λ)} )}{( x _{1} ! )})

0.026 ln (5 \cdot 1 0^{8})

lo g_{a} (a^{2} b c^{3})

What is simplify-ln|x|-3/x+ln|x-1| ?
The solution to simplify-ln|x|-3/x+ln|x-1| is ln((|x-1|)/(|x|))-3/x