What is log_{5}((14sqrt(x))/y) ?

The solution to log_{5}((14sqrt(x))/y) is log_{5}(14)+log_{5}(sqrt(x))-log_{5}(y)

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simplify log_{5}((14sqrt(x))/y)

simplify

lo g_{5} (\frac{14 x}{y})

lo g_{5} (14) + lo g_{5} (x) - lo g_{5} (y)

Solution steps

lo g_{5} (\frac{14 x}{y})

Apply log rule:

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

lo g_{5} (\frac{14 x}{y}) = lo g_{5} (14 x) - lo g_{5} (y)

= lo g_{5} (14 x) - lo g_{5} (y)

Simplify

lo g_{5} (14 x) : lo g_{5} (14) + lo g_{5} (x)

= lo g_{5} (14) + lo g_{5} (x) - lo g_{5} (y)

lo g_{4} (\frac{( 2 x + 1 )}{3 y + 4})

lo g_{10} (y) + 13 lo g_{10} (z)

4 lo g_{6} (y) - \frac{1}{4} lo g_{6} (z)

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

lo g_{10} (\frac{x}{2})

What is log_{5}((14sqrt(x))/y) ?
The solution to log_{5}((14sqrt(x))/y) is log_{5}(14)+log_{5}(sqrt(x))-log_{5}(y)