What is 20log_{2}(x)-5log_{2}(y) ?

The solution to 20log_{2}(x)-5log_{2}(y) is log_{2}((x^{20})/(y^5))

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simplify 20log_{2}(x)-5log_{2}(y)

simplify

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

lo g_{2} (\frac{x ^{20}}{y ^{5}})

Solution steps

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

Apply log rule:

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

20 lo g_{2} (x) = lo g_{2} (x^{20})

= lo g_{2} (x^{20}) - 5 lo g_{2} (y)

Apply log rule:

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

5 lo g_{2} (y) = lo g_{2} (y^{5})

= lo g_{2} (x^{20}) - lo g_{2} (y^{5})

Apply log rule:

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

lo g_{2} (x^{20}) - lo g_{2} (y^{5}) = lo g_{2} (\frac{x ^{20}}{y ^{5}})

= lo g_{2} (\frac{x ^{20}}{y ^{5}})

lo g_{10} (\frac{z ^{3}}{x ^{5} y})

lo g_{10} (48) - lo g_{10} (2)

lo g_{10} (\frac{7 ( x + 6 ) ^{3}}{x ^{5}})

ln (\frac{e ^{5}}{3})

lo g_{10} (\frac{x}{yz})

What is 20log_{2}(x)-5log_{2}(y) ?
The solution to 20log_{2}(x)-5log_{2}(y) is log_{2}((x^{20})/(y^5))