What is expand log_{2}((y^{10})/(\sqrt[4]{z)}) ?

The solution to expand log_{2}((y^{10})/(\sqrt[4]{z)}) is 10log_{2}(y)-log_{2}(\sqrt[4]{z})

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expand log_{2}((y^{10})/(\sqrt[4]{z)})

expand

Solution steps

Apply log rule:

lo g_{c} (\frac{a}{b}) = lo g_{c} (a) - lo g_{c} (b)

Apply log rule:

lo g_{a} (x^{b}) = b \cdot lo g_{a} (x)

lo g_{2} (y^{10}) = 10 lo g_{2} (y)

ln (x + 2) - ln (5 x)

lo g_{2} (8 x^{5})

lo g_{b} (x) + lo g_{b} (y) - lo g_{b} (t)

ln ((x^{2} + 5)^{5} (1 - x^{4})^{4})

lo g_{3} (11 z)

What is expand log_{2}((y^{10})/(\sqrt[4]{z)}) ?
The solution to expand log_{2}((y^{10})/(\sqrt[4]{z)}) is 10log_{2}(y)-log_{2}(\sqrt[4]{z})