What is log_{10}((sqrt(y))/(4y+8)) ?

The solution to log_{10}((sqrt(y))/(4y+8)) is log_{10}(sqrt(y))-log_{10}(4y+8)

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simplify log_{10}((sqrt(y))/(4y+8))

simplify

lo g_{10} (\frac{y}{4 y + 8})

lo g_{10} (y) - lo g_{10} (4 y + 8)

Solution steps

lo g_{10} (\frac{y}{4 y + 8})

Apply log rule:

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

lo g_{10} (\frac{y}{4 y + 8}) = lo g_{10} (y) - lo g_{10} (4 y + 8)

= lo g_{10} (y) - lo g_{10} (4 y + 8)

lo g_{10} ((\frac{y}{3})^{2})

ln (\frac{3 ^{x} 6 ^{2 x}}{2 ^{2 x}})

lo g_{10} (\frac{x y ^{3}}{z ^{2}})

ln (y) - ln (y + 1)

What is log_{10}((sqrt(y))/(4y+8)) ?
The solution to log_{10}((sqrt(y))/(4y+8)) is log_{10}(sqrt(y))-log_{10}(4y+8)