What is expand log_{8}(w^6sqrt(u)) ?

The solution to expand log_{8}(w^6sqrt(u)) is 6log_{8}(w)+log_{8}(sqrt(u))

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expand log_{8}(w^6sqrt(u))

expand

lo g_{8} (w^{6} u)

6 lo g_{8} (w) + lo g_{8} (u)

Solution steps

lo g_{8} (w^{6} u)

Apply log rule:

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

lo g_{8} (w^{6} u) = lo g_{8} (w^{6}) + lo g_{8} (u)

= lo g_{8} (w^{6}) + lo g_{8} (u)

Apply log rule:

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

lo g_{8} (w^{6}) = 6 lo g_{8} (w)

= 6 lo g_{8} (w) + lo g_{8} (u)

\frac{1}{2} x - 5 + 3 ln (x - 1) - 3 ln (x - 2)

ln (\frac{1200}{400})

ln (\frac{2}{y - 2})

ln (\frac{50 \cdot 12}{70.5 \cdot 8.9})

ln (\frac{573.15 x}{293.15 x})

What is expand log_{8}(w^6sqrt(u)) ?
The solution to expand log_{8}(w^6sqrt(u)) is 6log_{8}(w)+log_{8}(sqrt(u))