What is simplify-4(ln|2a-10|-ln(10)) ?

The solution to simplify-4(ln|2a-10|-ln(10)) is -4ln((|2a-10|)/(10))

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simplify-4(ln|2a-10|-ln(10))

simplify

- 4 (ln ∣ 2 a - 10 ∣ - ln (10))

- 4 ln (\frac{∣ 2 a - 10 ∣}{10})

Solution steps

- 4 (ln ∣ 2 a - 10 ∣ - ln (10))

Apply log rule:

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

ln ∣ 2 a - 10 ∣ - ln (10) = ln (\frac{∣ 2 a - 10 ∣}{10})

= - 4 ln (\frac{∣ 2 a - 10 ∣}{10})

lo g_{3} (\frac{81}{x - 9})

- ln ∣ x - 2 ∣ + ln ∣ x - 3 ∣ + C

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

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

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

What is simplify-4(ln|2a-10|-ln(10)) ?
The solution to simplify-4(ln|2a-10|-ln(10)) is -4ln((|2a-10|)/(10))