What is log_{2}(9)+log_{2}(11) ?

The solution to log_{2}(9)+log_{2}(11) is log_{2}(99)

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simplify log_{2}(9)+log_{2}(11)

simplify

lo g_{2} (9) + lo g_{2} (11)

lo g_{2} (99)

Decimal Notation

6.62935 \dots

Solution steps

lo g_{2} (9) + lo g_{2} (11)

Apply log rule:

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

lo g_{2} (9) + lo g_{2} (11) = lo g_{2} (9 \cdot 11)

= lo g_{2} (9 \cdot 11)

Multiply the numbers:

9 \cdot 11 = 99

= lo g_{2} (99)

lo g_{10} (\frac{( x + 2 ) ^{2}}{x - 1})

ln (x^{5} 4 - x)

\frac{1}{2} lo g_{10} (x + 3) + \frac{1}{2} lo g_{10} (x + 2)

0.19 - \frac{8.314 \cdot 298}{96500} ln (\frac{x}{2})

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

What is log_{2}(9)+log_{2}(11) ?
The solution to log_{2}(9)+log_{2}(11) is log_{2}(99)