What is simplify-ln| v/(v-c)|+ln| v/(v+c)| ?

The solution to simplify-ln| v/(v-c)|+ln| v/(v+c)| is ln((|v-c|)/(|v+c|))

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simplify-ln| v/(v-c)|+ln| v/(v+c)|

simplify

- ln \frac{v}{v - c} + ln \frac{v}{v + c}

ln (\frac{∣ v - c ∣}{∣ v + c ∣})

Solution steps

- ln \frac{v}{v - c} + ln \frac{v}{v + c}

Apply log rule:

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

ln \frac{v}{v + c} - ln \frac{v}{v - c} = ln (\frac{\frac{v}{v + c}}{\frac{v}{v - c}})

= ln (\frac{\frac{v}{v + c}}{\frac{v}{v - c}})

Simplify

\frac{\frac{v}{v + c}}{\frac{v}{v - c}} : \frac{∣ v - c ∣}{∣ v + c ∣}

= ln (\frac{∣ v - c ∣}{∣ v + c ∣})

ln (x^{2} - 2 x) - ln (3)

ln (4 x y)

ln (\frac{373}{283})

81 π (ln (11) - 3 ln (2))

ln (9 e^{3}) - ln (3 e)

What is simplify-ln| v/(v-c)|+ln| v/(v+c)| ?
The solution to simplify-ln| v/(v-c)|+ln| v/(v+c)| is ln((|v-c|)/(|v+c|))