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Popular >

simplify ln|3x+x|-ln(2-x)

Solution

simplify

ln ∣ 3 x + x ∣ - ln (2 - x)

Solution

ln (\frac{4 ∣ x ∣}{2 - x})

Solution steps

ln ∣ 3 x + x ∣ - ln (2 - x)

Apply log rule:

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

ln ∣ 3 x + x ∣ - ln (2 - x) = ln (\frac{∣ 3 x + x ∣}{- x + 2})

= ln (\frac{∣ 3 x + x ∣}{2 - x})

∣ 3 x + x ∣ = 4 ∣ x ∣

= ln (\frac{4 ∣ x ∣}{2 - x})

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Frequently Asked Questions (FAQ)

What is ln|3x+x|-ln(2-x) ?
The solution to ln|3x+x|-ln(2-x) is ln((4|x|)/(2-x))