What is log_{2}((6x)/y) ?

The solution to log_{2}((6x)/y) is 1+log_{2}(3)+log_{2}(x)-log_{2}(y)

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simplify log_{2}((6x)/y)

simplify

lo g_{2} (\frac{6 x}{y})

1 + lo g_{2} (3) + lo g_{2} (x) - lo g_{2} (y)

Solution steps

lo g_{2} (\frac{6 x}{y})

Apply log rule:

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

lo g_{2} (\frac{6 x}{y}) = lo g_{2} (6 x) - lo g_{2} (y)

= lo g_{2} (6 x) - lo g_{2} (y)

Simplify

lo g_{2} (6 x) : 1 + lo g_{2} (3) + lo g_{2} (x)

= 1 + lo g_{2} (3) + lo g_{2} (x) - lo g_{2} (y)

lo g_{10} (\frac{10}{0.1})

lo g_{2} (\frac{n}{2})

5 ln (x) + 2 ln (y) - 6 ln (z)

What is log_{2}((6x)/y) ?
The solution to log_{2}((6x)/y) is 1+log_{2}(3)+log_{2}(x)-log_{2}(y)