What is log_{2}((x^2)/(x-3)) ?

The solution to log_{2}((x^2)/(x-3)) is 2log_{2}(x)-log_{2}(x-3)

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simplify log_{2}((x^2)/(x-3))

simplify

lo g_{2} (\frac{x ^{2}}{x - 3})

2 lo g_{2} (x) - lo g_{2} (x - 3)

Solution steps

lo g_{2} (\frac{x ^{2}}{x - 3})

Apply log rule:

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

lo g_{2} (\frac{x ^{2}}{x - 3}) = lo g_{2} (x^{2}) - lo g_{2} (x - 3)

= lo g_{2} (x^{2}) - lo g_{2} (x - 3)

Simplify

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

= 2 lo g_{2} (x) - lo g_{2} (x - 3)

lo g_{2} (\frac{c}{4})

lo g_{2} (\frac{4 x + 1}{5})

\frac{1}{2} ln (x) + 4 ln (y) - 3 ln (z)

lo g_{9} (x^{2} + 13 x + 40) - lo g_{9} (x + 8)

3.8 + lo g_{10} (\frac{0.2 - 0.02}{0.5 + 0.02})

What is log_{2}((x^2)/(x-3)) ?
The solution to log_{2}((x^2)/(x-3)) is 2log_{2}(x)-log_{2}(x-3)