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Popular >

expand log_{8}(mn^2)

Solution

expand

lo g_{8} (m n^{2})

Solution

lo g_{8} (m) + 2 lo g_{8} (n)

Solution steps

lo g_{8} (m n^{2})

Apply log rule:

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

lo g_{8} (m n^{2}) = lo g_{8} (m) + lo g_{8} (n^{2})

= lo g_{8} (m) + lo g_{8} (n^{2})

Apply log rule:

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

lo g_{8} (n^{2}) = 2 lo g_{8} (n)

= lo g_{8} (m) + 2 lo g_{8} (n)

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10 lo g_{10} (\frac{x}{1 \cdot 1 0 ^{- 12}})

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Frequently Asked Questions (FAQ)

What is expand log_{8}(mn^2) ?
The solution to expand log_{8}(mn^2) is log_{8}(m)+2log_{8}(n)