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Popular >

simplify ln(xy)-ln(y)

Solution

simplify

ln (x y) - ln (y)

Solution

ln (x)

Solution steps

ln (x y) - ln (y)

Apply log rule:

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

ln (x y) - ln (y) = ln (\frac{x y}{y})

= ln (\frac{x y}{y})

Cancel the common factor:

y

= ln (x)

Popular Examples

simplify ln((sqrt(z))/(x^5y))simplify

ln (\frac{z}{x ^{5} y})

simplify ln(8)+3ln(3)simplify

ln (8) + 3 ln (3)

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ln (5.6 \cdot 7.8)

simplify ln(9)+2ln(4)simplify

ln (9) + 2 ln (4)

simplify ln(9)+2ln(2)simplify

ln (9) + 2 ln (2)

Frequently Asked Questions (FAQ)

What is ln(xy)-ln(y) ?
The solution to ln(xy)-ln(y) is ln(x)