What is log_{2}(3)+log_{2}(10) ?

The solution to log_{2}(3)+log_{2}(10) is log_{2}(30)

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simplify log_{2}(3)+log_{2}(10)

simplify

lo g_{2} (3) + lo g_{2} (10)

lo g_{2} (30)

Decimal Notation

4.90689 \dots

Solution steps

lo g_{2} (3) + lo g_{2} (10)

Apply log rule:

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

lo g_{2} (3) + lo g_{2} (10) = lo g_{2} (3 \cdot 10)

= lo g_{2} (3 \cdot 10)

Multiply the numbers:

3 \cdot 10 = 30

= lo g_{2} (30)

9 ln (x) - 3 ln (y)

3 ln (x) - 5 ln (y)

lo g_{5} (1000) + lo g_{4 a} (64 a^{3})

2 lo g_{a} (5 x^{3}) - \frac{1}{2} lo g_{a} (2 x + 3)

What is log_{2}(3)+log_{2}(10) ?
The solution to log_{2}(3)+log_{2}(10) is log_{2}(30)