What is simplify-a(ln|a-l|-ln|a|)-l ?

The solution to simplify-a(ln|a-l|-ln|a|)-l is -aln((|a-l|)/(|a|))-l

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simplify-a(ln|a-l|-ln|a|)-l

simplify

- a (ln ∣ a - l ∣ - ln ∣ a ∣) - l

- a ln (\frac{∣ a - l ∣}{∣ a ∣}) - l

Solution steps

- a (ln ∣ a - l ∣ - ln ∣ a ∣) - l

Apply log rule:

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

ln ∣ a - l ∣ - ln ∣ a ∣ = ln (\frac{∣ a - l ∣}{∣ a ∣})

= - a ln (\frac{∣ a - l ∣}{∣ a ∣}) - l

\frac{1}{2} ln (\frac{386000}{530000})

ln (\frac{50000}{20000})

e^{x - 2 y} - ln (2 x^{2} y)

\frac{1}{lo g _{10} ( 62.8 ) - lo g _{10} ( 6.28 )}

ln (1 x (1 0^{- 3}))

What is simplify-a(ln|a-l|-ln|a|)-l ?
The solution to simplify-a(ln|a-l|-ln|a|)-l is -aln((|a-l|)/(|a|))-l