What is simplify-ln|y-0.5|+ln|y-0.277| ?

The solution to simplify-ln|y-0.5|+ln|y-0.277| is ln((|y-0.277|)/(|y-0.5|))

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simplify-ln|y-0.5|+ln|y-0.277|

simplify

- ln ∣ y - 0.5 ∣ + ln ∣ y - 0.277 ∣

ln (\frac{∣ y - 0.277 ∣}{∣ y - 0.5 ∣})

Solution steps

- ln ∣ y - 0.5 ∣ + ln ∣ y - 0.277 ∣

Apply log rule:

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

ln ∣ y - 0.277 ∣ - ln ∣ y - 0.5 ∣ = ln (\frac{∣ y - 0.277 ∣}{∣ y - 0.5 ∣})

= ln (\frac{∣ y - 0.277 ∣}{∣ y - 0.5 ∣})

- 500 ln (\frac{500}{500 + 1000})

ln (60) - ln (30)

ln (- 1) - ln (3)

ln (\frac{1}{1 - \frac{0.0003}{2}})

ln (\frac{100 + 9.12}{9.12})

What is simplify-ln|y-0.5|+ln|y-0.277| ?
The solution to simplify-ln|y-0.5|+ln|y-0.277| is ln((|y-0.277|)/(|y-0.5|))