What is log_{2}((r+s)*t) ?

The solution to log_{2}((r+s)*t) is log_{2}(r+s)+log_{2}(t)

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simplify log_{2}((r+s)*t)

simplify

lo g_{2} ((r + s) \cdot t)

lo g_{2} (r + s) + lo g_{2} (t)

Solution steps

lo g_{2} ((r + s) t)

Apply log rule:

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

lo g_{2} ((r + s) t) = lo g_{2} (r + s) + lo g_{2} (t)

= lo g_{2} (r + s) + lo g_{2} (t)

4 lo g_{10} (x) + 2 lo g_{10} (y)

\frac{1}{3} lo g_{3} (x^{6}) + \frac{1}{6} lo g_{3} (x^{6}) - \frac{1}{9} lo g_{3} (x)

2 ln (x - 1) + 3 ln (x + 1)

lo g_{4} (\frac{4 x ^{6}}{y})

ln (\frac{e ^{4}}{6})

What is log_{2}((r+s)*t) ?
The solution to log_{2}((r+s)*t) is log_{2}(r+s)+log_{2}(t)