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

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

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simplify log_{10}(m)+log_{10}(n)+log_{10}(p)

simplify

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

lo g_{10} (mn p)

Solution steps

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

Apply log rule:

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

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

= lo g_{10} (mn) + lo g_{10} (p)

Apply log rule:

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

lo g_{10} (mn) + lo g_{10} (p) = lo g_{10} (mn p)

= lo g_{10} (mn p)

6 lo g_{b} (x) + 3 lo g_{b} (z)

lo g_{4} (x) + lo g_{4} (x + 1)

\frac{- ln ( \frac{a}{P} - b ) + ln ( \frac{a}{P _{0}} - b )}{a}

lo g_{8} (\frac{w ^{4} x ^{2}}{yz})

ln (x (x + 8))

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