What is log_{10}((pq)/r) ?

The solution to log_{10}((pq)/r) is log_{10}(p)+log_{10}(q)-log_{10}(r)

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simplify log_{10}((pq)/r)

simplify

lo g_{10} (\frac{pq}{r})

lo g_{10} (p) + lo g_{10} (q) - lo g_{10} (r)

Solution steps

lo g_{10} (\frac{pq}{r})

Apply log rule:

lo g_{a} (\frac{x}{y}) = lo g_{a} (x) - lo g_{a} (y)

lo g_{10} (\frac{pq}{r}) = lo g_{10} (pq) - lo g_{10} (r)

= lo g_{10} (pq) - lo g_{10} (r)

Simplify

lo g_{10} (pq) : lo g_{10} (p) + lo g_{10} (q)

= lo g_{10} (p) + lo g_{10} (q) - lo g_{10} (r)

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8 lo g_{10} (x) + lo g_{10} (y) - lo g_{10} (z)

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What is log_{10}((pq)/r) ?
The solution to log_{10}((pq)/r) is log_{10}(p)+log_{10}(q)-log_{10}(r)