What is log_{10}(m*n*p*q) ?

The solution to log_{10}(m*n*p*q) is log_{10}(m)+log_{10}(n)+log_{10}(p)+log_{10}(q)

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simplify log_{10}(mnp*q)

simplify

lo g_{10} (m \cdot n \cdot p \cdot q)

lo g_{10} (m) + lo g_{10} (n) + lo g_{10} (p) + lo g_{10} (q)

Solution steps

lo g_{10} (mn pq)

Apply log rule:

lo g_{a} (x y) = lo g_{a} (x) + lo g_{a} (y)

lo g_{10} (mn pq) = lo g_{10} (m) + lo g_{10} (n) + lo g_{10} (p) + lo g_{10} (q)

= lo g_{10} (m) + lo g_{10} (n) + lo g_{10} (p) + lo g_{10} (q)

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What is log_{10}(m*n*p*q) ?
The solution to log_{10}(m*n*p*q) is log_{10}(m)+log_{10}(n)+log_{10}(p)+log_{10}(q)