What is ln((|8+2x|)/(|-2+2x|)) ?

The solution to ln((|8+2x|)/(|-2+2x|)) is ln|8+2x|-ln|-2+2x|

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simplify ln((|8+2x|)/(|-2+2x|))

simplify

ln (\frac{∣ 8 + 2 x ∣}{∣ - 2 + 2 x ∣})

ln ∣ 8 + 2 x ∣ - ln ∣ - 2 + 2 x ∣

Solution steps

ln (\frac{∣ 8 + 2 x ∣}{∣ - 2 + 2 x ∣})

Apply log rule:

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

ln (\frac{∣ 8 + 2 x ∣}{∣ - 2 + 2 x ∣}) = ln ∣ 8 + 2 x ∣ - ln ∣ - 2 + 2 x ∣

= ln ∣ 2 x + 8 ∣ - ln ∣ 2 x - 2 ∣

2 (2 ln ∣ x + 2 ∣ - ln ∣ x + 1 ∣)

- \frac{1}{0.024} ln (\frac{6 - p}{4.2})

\frac{19 ln ( \frac{y}{x} + 5 ) - ln ( \frac{y}{x} )}{5} - \frac{y}{x}

ln (\frac{x}{\frac{x}{2}})

ln (\frac{20474}{375}) \cdot 4

What is ln((|8+2x|)/(|-2+2x|)) ?
The solution to ln((|8+2x|)/(|-2+2x|)) is ln|8+2x|-ln|-2+2x|