What is 2log_{6}(x)-2log_{6}(y) ?

The solution to 2log_{6}(x)-2log_{6}(y) is log_{6}((x^2)/(y^2))

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simplify 2log_{6}(x)-2log_{6}(y)

simplify

2 lo g_{6} (x) - 2 lo g_{6} (y)

lo g_{6} (\frac{x ^{2}}{y ^{2}})

Solution steps

2 lo g_{6} (x) - 2 lo g_{6} (y)

Apply log rule:

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

2 lo g_{6} (x) = lo g_{6} (x^{2})

= lo g_{6} (x^{2}) - 2 lo g_{6} (y)

Apply log rule:

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

2 lo g_{6} (y) = lo g_{6} (y^{2})

= lo g_{6} (x^{2}) - lo g_{6} (y^{2})

Apply log rule:

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

lo g_{6} (x^{2}) - lo g_{6} (y^{2}) = lo g_{6} (\frac{x ^{2}}{y ^{2}})

= lo g_{6} (\frac{x ^{2}}{y ^{2}})

\frac{1}{3} lo g_{b} (x) + 3 lo g_{b} (y) - 5 lo g_{b} (x)

lo g_{n} (\frac{2 a}{7 y})

4 lo g_{2} (x) - 5 lo g_{2} (y)

lo g_{b} (\frac{a ^{3} c ^{4}}{a})

What is 2log_{6}(x)-2log_{6}(y) ?
The solution to 2log_{6}(x)-2log_{6}(y) is log_{6}((x^2)/(y^2))