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Popular >

simplify ln(x^2)-2ln(y)

Solution

simplify

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

Solution

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

Solution steps

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

Apply log rule:

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

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

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

Apply log rule:

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

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

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

Popular Examples

simplify log_{10}(xy^5)simplify

lo g_{10} (x y^{5})

simplify log_{10}(x^5y^4)simplify

lo g_{10} (x^{5} y^{4})

simplify log_{5}((100)/(3x))simplify

lo g_{5} (\frac{100}{3 x})

simplify ln(((s^2+c^2)(s+a))/((s+b)(s^2-c^2)))simplify

ln (\frac{( s ^{2} + c ^{2} ) ( s + a )}{( s + b ) ( s ^{2} - c ^{2} )})

simplify 3.34678+log_{10}((0.01)/(0.2))simplify

3.34678 + lo g_{10} (\frac{0.01}{0.2})

Frequently Asked Questions (FAQ)

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