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

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

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

simplify

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

lo g_{2} (x)

Solution steps

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

Apply log rule

lo g_{a} (x^{b}) = b \cdot lo g_{a} (x), assuming x > 0

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

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

Add similar elements:

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

= lo g_{2} (x)

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

2 lo g_{10} (4 x) - lo g_{10} (8)

lo g_{10} (4 x - 1) - lo g_{10} (x)

lo g_{10} (p^{n} (1 - p)^{n (x - 1)})

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