What is expand log_{a}((bc)^3)\sqrt[3]{d} ?

The solution to expand log_{a}((bc)^3)\sqrt[3]{d} is 3log_{a}(bc)\sqrt[3]{d}

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expand log_{a}((bc)^3)\sqrt[3]{d}

expand

Solution steps

Apply log rule:

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

lo g_{a} ((b c)^{3}) = 3 lo g_{a} (b c)

lo g_{4} (6) + 2 lo g_{4} (7)

2 lo g_{5} (12) - lo g_{5} (8) - 2 lo g_{5} (3)

ln (\frac{1.519}{1000})

lo g_{10} (y) + 10 lo g_{10} (z)

lo g_{10} (2 x + 5) - lo g_{10} (x)

What is expand log_{a}((bc)^3)\sqrt[3]{d} ?
The solution to expand log_{a}((bc)^3)\sqrt[3]{d} is 3log_{a}(bc)\sqrt[3]{d}