What is simplify-ln|x-2|+ln|x-3|+C ?

The solution to simplify-ln|x-2|+ln|x-3|+C is ln((|x-3|)/(|x-2|))+C

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simplify-ln|x-2|+ln|x-3|+C

simplify

- ln ∣ x - 2 ∣ + ln ∣ x - 3 ∣ + C

ln (\frac{∣ x - 3 ∣}{∣ x - 2 ∣}) + C

Solution steps

- ln ∣ x - 2 ∣ + ln ∣ x - 3 ∣ + C

Apply log rule:

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

ln ∣ x - 3 ∣ - ln ∣ x - 2 ∣ = ln (\frac{∣ x - 3 ∣}{∣ x - 2 ∣})

= ln (\frac{∣ x - 3 ∣}{∣ x - 2 ∣}) + C

lo g_{10} (\frac{x ^{4}}{y ^{5} z})

lo g_{2} (56) + lo g_{2} (7)

lo g_{b} (\frac{3}{4})

\frac{ln ( 11 ) + ln ( 4 ) - ln ( 2 )}{ln ( 4 ) - ln ( 11 )}

lo g_{10} (8) + lo g_{10} (x) - 2 lo g_{10} (x + 4)

What is simplify-ln|x-2|+ln|x-3|+C ?
The solution to simplify-ln|x-2|+ln|x-3|+C is ln((|x-3|)/(|x-2|))+C