What is expand log_{2}(6mn^4) ?

The solution to expand log_{2}(6mn^4) is log_{2}(6)+log_{2}(m)+4log_{2}(n)

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expand log_{2}(6mn^4)

expand

lo g_{2} (6 m n^{4})

lo g_{2} (6) + lo g_{2} (m) + 4 lo g_{2} (n)

Solution steps

lo g_{2} (6 m n^{4})

Apply log rule:

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

lo g_{2} (6 m n^{4}) = lo g_{2} (6) + lo g_{2} (m) + lo g_{2} (n^{4})

= lo g_{2} (6) + lo g_{2} (m) + lo g_{2} (n^{4})

Apply log rule:

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

lo g_{2} (n^{4}) = 4 lo g_{2} (n)

= lo g_{2} (6) + lo g_{2} (m) + 4 lo g_{2} (n)

ln (\frac{6 H}{0.8 W + t})

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lo g_{3} (\frac{x ^{6}}{5 y})

20 lo g_{10} (\frac{2.5 \cdot 1 0 ^{- 3}}{2}) + 4

- ln (x) + 9 ln (y) - 3 ln (z)

What is expand log_{2}(6mn^4) ?
The solution to expand log_{2}(6mn^4) is log_{2}(6)+log_{2}(m)+4log_{2}(n)