What is log_{2}((m+n)*p) ?

The solution to log_{2}((m+n)*p) is log_{2}(m+n)+log_{2}(p)

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simplify log_{2}((m+n)*p)

simplify

lo g_{2} ((m + n) \cdot p)

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

Solution steps

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

Apply log rule:

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

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

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

lo g_{10} (\frac{x}{1000 y ^{8}})

lo g_{10} (\frac{u ^{2} + v ^{2}}{100})

\frac{1}{2} (lo g_{3} (s) + lo g_{3} (t))

5 lo g_{10} (x^{3}) - 4 lo g_{10} (x^{2})

lo g_{10} (\frac{y ^{5} x ^{2}}{z ^{5}})

What is log_{2}((m+n)*p) ?
The solution to log_{2}((m+n)*p) is log_{2}(m+n)+log_{2}(p)