What is log_{5}(2)+log_{5}(3) ?

The solution to log_{5}(2)+log_{5}(3) is log_{5}(6)

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simplify log_{5}(2)+log_{5}(3)

simplify

lo g_{5} (2) + lo g_{5} (3)

lo g_{5} (6)

Decimal Notation

1.11328 \dots

Solution steps

lo g_{5} (2) + lo g_{5} (3)

Apply log rule:

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

lo g_{5} (2) + lo g_{5} (3) = lo g_{5} (2 \cdot 3)

= lo g_{5} (2 \cdot 3)

Multiply the numbers:

2 \cdot 3 = 6

= lo g_{5} (6)

- lo g_{10} (4.1 \times 1 0^{- 4})

ln (\frac{3 + 1}{3 - 1})

- lo g_{10} (2 \cdot 1 0^{- 10})

lo g_{10} (\frac{5 x}{3})

2 ln (6 x) - \frac{2}{3} ln (x^{3})

What is log_{5}(2)+log_{5}(3) ?
The solution to log_{5}(2)+log_{5}(3) is log_{5}(6)