What is log_{2}(x-5)+log_{2}(x-11) ?

The solution to log_{2}(x-5)+log_{2}(x-11) is log_{2}((x-5)(x-11))

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simplify log_{2}(x-5)+log_{2}(x-11)

simplify

lo g_{2} (x - 5) + lo g_{2} (x - 11)

lo g_{2} ((x - 5) (x - 11))

Solution steps

lo g_{2} (x - 5) + lo g_{2} (x - 11)

Apply log rule:

lo g_{c} (a) + lo g_{c} (b) = lo g_{c} (ab)

lo g_{2} (x - 5) + lo g_{2} (x - 11) = lo g_{2} ((x - 5) (x - 11))

= lo g_{2} ((x - 5) (x - 11))

2 lo g_{3} (x) - 3 lo g_{3} (y) + 5 lo g_{3} (z)

\frac{1}{2} lo g_{e} (1 + \frac{2 y}{x}) + lo g_{e} (x)

\frac{1}{2} lo g_{10} (7)

\frac{d}{d x} (\frac{1}{8} ln (4 ∣ ln (x) ∣)) + c

5 ln (x) + \frac{3}{4} ln (y)

What is log_{2}(x-5)+log_{2}(x-11) ?
The solution to log_{2}(x-5)+log_{2}(x-11) is log_{2}((x-5)(x-11))