What is simplify-ln|p|+ln|p-3| ?

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

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simplify-ln|p|+ln|p-3|

simplify

- ln ∣ p ∣ + ln ∣ p - 3 ∣

ln (\frac{∣ p - 3 ∣}{∣ p ∣})

Solution steps

- ln ∣ p ∣ + ln ∣ p - 3 ∣

Apply log rule:

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

ln ∣ p - 3 ∣ - ln ∣ p ∣ = ln (\frac{∣ p - 3 ∣}{∣ p ∣})

= ln (\frac{∣ p - 3 ∣}{∣ p ∣})

ln (x^{3} \cdot y z)

ln ∣ x - 2 ∣ - ln ∣ x - 1 ∣

ln (\frac{x ^{3} - y ^{3}}{x ^{2} + y ^{2}})

- lo g_{10} (6.12121 \cdot 1 0^{- 13})

2 ln (3) - 2 ln (9) - 2 ln (2) + 2 ln (7)

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