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Popular >

simplify log_{4}(x^2y^7)

Solution

simplify

lo g_{4} (x^{2} y^{7})

Solution

lo g_{2} (x) + 7 lo g_{4} (y)

Solution steps

lo g_{4} (x^{2} y^{7})

Apply log rule:

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

lo g_{4} (x^{2} y^{7}) = lo g_{4} (x^{2}) + lo g_{4} (y^{7})

= lo g_{4} (x^{2}) + lo g_{4} (y^{7})

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

lo g_{4} (y^{7}) = 7 lo g_{4} (y)

= lo g_{2} (x) + 7 lo g_{4} (y)

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Frequently Asked Questions (FAQ)

What is log_{4}(x^2y^7) ?
The solution to log_{4}(x^2y^7) is log_{2}(x)+7log_{4}(y)