What is log_{2}(11)-2log_{2}(x) ?

The solution to log_{2}(11)-2log_{2}(x) is log_{2}((11)/(x^2))

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simplify log_{2}(11)-2log_{2}(x)

simplify

lo g_{2} (11) - 2 lo g_{2} (x)

lo g_{2} (\frac{11}{x ^{2}})

Solution steps

lo g_{2} (11) - 2 lo g_{2} (x)

Apply log rule:

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

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

= lo g_{2} (11) - lo g_{2} (x^{2})

Apply log rule:

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

lo g_{2} (11) - lo g_{2} (x^{2}) = lo g_{2} (\frac{11}{x ^{2}})

= lo g_{2} (\frac{11}{x ^{2}})

\frac{5}{9} ln (37)

2 lo g_{e} (a b^{2})

ln (\frac{x + x}{x - 2})

ln (\frac{x + y i}{x - y i})

ln (\frac{1}{1 + x})

What is log_{2}(11)-2log_{2}(x) ?
The solution to log_{2}(11)-2log_{2}(x) is log_{2}((11)/(x^2))