What is log_{2}(1/(\sqrt[3]{x)}) ?

The solution to log_{2}(1/(\sqrt[3]{x)}) is -log_{2}(\sqrt[3]{x})

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simplify log_{2}(1/(\sqrt[3]{x)})

simplify

Solution steps

Simplify

Apply log rule

lo g_{a} (x^{b}) = b \cdot lo g_{a} (x), assuming x > 0

Apply rule:

1 \cdot a = a

4 ln (x) - 5 ln (y)

lo g_{10} (7 z)

lo g_{b} (\frac{13}{17})

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

lo g_{7} (5 y (3 y + 4))

What is log_{2}(1/(\sqrt[3]{x)}) ?
The solution to log_{2}(1/(\sqrt[3]{x)}) is -log_{2}(\sqrt[3]{x})