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Popular >

simplify log_{2}(x^3y^4)

Solution

simplify

lo g_{2} (x^{3} y^{4})

Solution

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

Solution steps

lo g_{2} (x^{3} y^{4})

Apply log rule:

lo g_{a} (x y) = lo g_{a} (x) + lo g_{a} (y)

lo g_{2} (x^{3} y^{4}) = lo g_{2} (x^{3}) + lo g_{2} (y^{4})

= lo g_{2} (x^{3}) + lo g_{2} (y^{4})

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

lo g_{2} (y^{4}) = 4 lo g_{2} (y)

= 3 lo g_{2} (x) + 4 lo g_{2} (y)

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Frequently Asked Questions (FAQ)

What is log_{2}(x^3y^4) ?
The solution to log_{2}(x^3y^4) is 3log_{2}(x)+4log_{2}(y)