What is 3log_{2}(x)+log_{2}(y) ?

The solution to 3log_{2}(x)+log_{2}(y) is log_{2}(x^3y)

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simplify 3log_{2}(x)+log_{2}(y)

simplify

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

lo g_{2} (x^{3} y)

Solution steps

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

Apply log rule:

a lo g_{c} (b) = lo g_{c} (b^{a})

3 lo g_{2} (x) = lo g_{2} (x^{3})

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

Apply log rule:

lo g_{c} (a) + lo g_{c} (b) = lo g_{c} (ab)

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

= lo g_{2} (x^{3} y)

ln (20) - 2 ln (2)

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\frac{ln ( 10000 ) - ln ( 1000 )}{0.0525}

7 ln (x y) - 4 ln (yz)

What is 3log_{2}(x)+log_{2}(y) ?
The solution to 3log_{2}(x)+log_{2}(y) is log_{2}(x^3y)