What is log_{10}((6x)/y) ?

The solution to log_{10}((6x)/y) is log_{10}(6)+log_{10}(x)-log_{10}(y)

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simplify log_{10}((6x)/y)

simplify

lo g_{10} (\frac{6 x}{y})

lo g_{10} (6) + lo g_{10} (x) - lo g_{10} (y)

Solution steps

lo g_{10} (\frac{6 x}{y})

Apply log rule:

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

lo g_{10} (\frac{6 x}{y}) = lo g_{10} (6 x) - lo g_{10} (y)

= lo g_{10} (6 x) - lo g_{10} (y)

Simplify

lo g_{10} (6 x) : lo g_{10} (6) + lo g_{10} (x)

= lo g_{10} (6) + lo g_{10} (x) - lo g_{10} (y)

ln (\frac{( e ^{x l n (2)} )}{2})

lo g_{5} (6) + lo g_{5} (7)

lo g_{10} (2 x^{4})

lo g_{10} (\frac{R ^{5} S ^{4}}{2 ^{6}})

ln (y) + ln (4)

What is log_{10}((6x)/y) ?
The solution to log_{10}((6x)/y) is log_{10}(6)+log_{10}(x)-log_{10}(y)