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

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

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

simplify

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

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

Solution steps

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

Apply log rule:

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

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

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

Apply log rule:

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

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

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

\frac{48125}{( 2 π ( 98 - 94 ) )} ln (\frac{70}{20})

2 lo g_{10} (u) - lo g_{10} (v)

ln (5) - ln (7)

3 ln (x) + 5 ln (z)

ln (\frac{x}{x ^{2} + 6})

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