What is log_{2}(sqrt(x))-log_{2}(x^8) ?

The solution to log_{2}(sqrt(x))-log_{2}(x^8) is log_{2}((sqrt(x))/(x^8))

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simplify log_{2}(sqrt(x))-log_{2}(x^8)

simplify

lo g_{2} (x) - lo g_{2} (x^{8})

lo g_{2} (\frac{x}{x ^{8}})

Solution steps

lo g_{2} (x) - lo g_{2} (x^{8})

Apply log rule:

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

lo g_{2} (x) - lo g_{2} (x^{8}) = lo g_{2} (\frac{x}{x ^{8}})

= lo g_{2} (\frac{x}{x ^{8}})

3 \cdot lo g_{2} (p) + 7 \cdot lo g_{2} (q)

lo g_{7} (x) - lo g_{7} (x^{8})

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

- lo g_{10} (6.8 \cdot 1 0^{- 4})

ln (\frac{x}{e ^{6 x}})

What is log_{2}(sqrt(x))-log_{2}(x^8) ?
The solution to log_{2}(sqrt(x))-log_{2}(x^8) is log_{2}((sqrt(x))/(x^8))