What is expand log_{10}(\sqrt[3]{9x^4}) ?

The solution to expand log_{10}(\sqrt[3]{9x^4}) is 4/3 log_{10}(x)+2/3 log_{10}(3)

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expand log_{10}(\sqrt[3]{9x^4})

expand

\frac{4}{3} lo g_{10} (x) + \frac{2}{3} lo g_{10} (3)

Solution steps

Apply log rule:

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

Simplify

\frac{1}{3} lo g_{10} (9) = \frac{2}{3} lo g_{10} (3)

= \frac{4}{3} lo g_{10} (x) + \frac{2}{3} lo g_{10} (3)

(x - \frac{6}{5} ln (6)) (x - \frac{6}{5} ln (6))

(6 + 5) (6 + 1) (6 - 5) (6 - 1)

lo g_{3} (y^{2} - 1)

2 (\frac{512 π}{3} - \frac{2048}{9})

(5 x - x^{2}) + (2 x - 3) d x

What is expand log_{10}(\sqrt[3]{9x^4}) ?
The solution to expand log_{10}(\sqrt[3]{9x^4}) is 4/3 log_{10}(x)+2/3 log_{10}(3)