What is log_{2}(5)+log_{2}(7) ?

The solution to log_{2}(5)+log_{2}(7) is log_{2}(35)

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simplify log_{2}(5)+log_{2}(7)

simplify

lo g_{2} (5) + lo g_{2} (7)

lo g_{2} (35)

Decimal Notation

5.12928 \dots

Solution steps

lo g_{2} (5) + lo g_{2} (7)

Apply log rule:

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

lo g_{2} (5) + lo g_{2} (7) = lo g_{2} (5 \cdot 7)

= lo g_{2} (5 \cdot 7)

Multiply the numbers:

5 \cdot 7 = 35

= lo g_{2} (35)

ln (\frac{27}{64})

6 ln (x) - \frac{1}{3} ln (y)

lo g_{10} (7 z)

ln (3 x^{5})

lo g_{3} (\frac{9}{x + 3})

What is log_{2}(5)+log_{2}(7) ?
The solution to log_{2}(5)+log_{2}(7) is log_{2}(35)