What is expand log_{10}(\sqrt[6]{z^7}) ?

The solution to expand log_{10}(\sqrt[6]{z^7}) is 7/6 log_{10}(z)

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expand log_{10}(\sqrt[6]{z^7})

expand

\frac{7}{6} lo g_{10} (z)

Solution steps

Apply log rule:

lo g_{c} (ab) = lo g_{c} (a) + lo g_{c} (b)

Simplify

= lo g_{10} (z) + \frac{1}{6} lo g_{10} (z)

Factor out common term

lo g_{10} (z)

= lo g_{10} (z) (1 + \frac{1}{6})

1 + \frac{1}{6} = \frac{7}{6}

= \frac{7}{6} lo g_{10} (z)

5 (y - 10 = - 5)

2 (5 + 8)

(x^{2} - \frac{1}{x})^{10}

(a \cdot cos (w) + 1 + b \cdot cos (2 \cdot w))^{2}

sin (b) (sec (b) + cot (b))

What is expand log_{10}(\sqrt[6]{z^7}) ?
The solution to expand log_{10}(\sqrt[6]{z^7}) is 7/6 log_{10}(z)