What is log_{2}(x+7)+log_{2}(11-x) ?

The solution to log_{2}(x+7)+log_{2}(11-x) is log_{2}((x+7)(11-x))

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simplify log_{2}(x+7)+log_{2}(11-x)

simplify

lo g_{2} (x + 7) + lo g_{2} (11 - x)

lo g_{2} ((x + 7) (11 - x))

Solution steps

lo g_{2} (x + 7) + lo g_{2} (11 - x)

Apply log rule:

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

lo g_{2} (x + 7) + lo g_{2} (11 - x) = lo g_{2} ((x + 7) (11 - x))

= lo g_{2} ((x + 7) (11 - x))

lo g_{10} (\frac{( 3 b ^{2} + 21 b )}{( 11 b + 77 )})

lo g_{10} (\frac{9 x ^{5}}{y ^{6}})

lo g_{10} (6) - 2 lo g_{10} (y)

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

lo g_{b} (6) - lo g_{b} (3)

What is log_{2}(x+7)+log_{2}(11-x) ?
The solution to log_{2}(x+7)+log_{2}(11-x) is log_{2}((x+7)(11-x))