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Popular >

simplify ln|y|-ln|y-2|

Solution

simplify

ln ∣ y ∣ - ln ∣ y - 2 ∣

Solution

ln (\frac{∣ y ∣}{∣ y - 2 ∣})

Solution steps

ln ∣ y ∣ - ln ∣ y - 2 ∣

Apply log rule:

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

ln ∣ y ∣ - ln ∣ y - 2 ∣ = ln (\frac{∣ y ∣}{∣ y - 2 ∣})

= ln (\frac{∣ y ∣}{∣ y - 2 ∣})

Popular Examples

simplify 2log_{10}(y)+3(log_{10}(w)-3log_{10}(x))simplify

2 lo g_{10} (y) + 3 (lo g_{10} (w) - 3 lo g_{10} (x))

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7 lo g_{m} (w) - \frac{1}{3} lo g_{m} (z) + 6 lo g_{m} (x)

simplify ln(x)+1/2 ln(1+(2y)/x)simplify

ln (x) + \frac{1}{2} ln (1 + \frac{2 y}{x})

simplify 85+10log_{10}((2.5)/8)simplify

85 + 10 lo g_{10} (\frac{2.5}{8})

simplify 6.1-log_{10}((51)/(18.5))simplify

6.1 - lo g_{10} (\frac{51}{18.5})

Frequently Asked Questions (FAQ)

What is ln|y|-ln|y-2| ?
The solution to ln|y|-ln|y-2| is ln((|y|)/(|y-2|))