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Popular >

simplify ln(x)-2ln(y)

Solution

simplify

ln (x) - 2 ln (y)

Solution

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

Solution steps

ln (x) - 2 ln (y)

Apply log rule:

a lo g_{c} (b) = lo g_{c} (b^{a})

2 ln (y) = ln (y^{2})

= ln (x) - ln (y^{2})

Apply log rule:

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

ln (x) - ln (y^{2}) = ln (\frac{x}{y ^{2}})

= ln (\frac{x}{y ^{2}})

Popular Examples

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lo g_{10} (\frac{a ^{6}}{b ^{5} c})

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lo g_{10} (5) + lo g_{10} (x)

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lo g_{10} (- \frac{1}{2} x) + 1

simplify log_{10}(y/(x^3))simplify

lo g_{10} (\frac{y}{x ^{3}})

Frequently Asked Questions (FAQ)

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