What is log_{2}(10)+log_{2}(5) ?

The solution to log_{2}(10)+log_{2}(5) is log_{2}(50)

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simplify log_{2}(10)+log_{2}(5)

simplify

lo g_{2} (10) + lo g_{2} (5)

lo g_{2} (50)

Decimal Notation

5.64385 \dots

Solution steps

lo g_{2} (10) + lo g_{2} (5)

Apply log rule:

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

lo g_{2} (10) + lo g_{2} (5) = lo g_{2} (10 \cdot 5)

= lo g_{2} (10 \cdot 5)

Multiply the numbers:

10 \cdot 5 = 50

= lo g_{2} (50)

lo g_{3} (2 x y)

lo g_{10} (\frac{1000 a ^{2}}{c})

3 lo g_{10} (9) + 1 lo g_{10} (x)

ln (5) + \frac{1}{2} ln (x + 1) - 2 ln (1 + x)

3 lo g_{5} (\frac{u v ^{2}}{w ^{3}})

What is log_{2}(10)+log_{2}(5) ?
The solution to log_{2}(10)+log_{2}(5) is log_{2}(50)