What is log_{5}(3)+log_{5}(4) ?

The solution to log_{5}(3)+log_{5}(4) is log_{5}(12)

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simplify log_{5}(3)+log_{5}(4)

simplify

lo g_{5} (3) + lo g_{5} (4)

lo g_{5} (12)

Decimal Notation

1.54395 \dots

Solution steps

lo g_{5} (3) + lo g_{5} (4)

Apply log rule:

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

lo g_{5} (3) + lo g_{5} (4) = lo g_{5} (3 \cdot 4)

= lo g_{5} (3 \cdot 4)

Multiply the numbers:

3 \cdot 4 = 12

= lo g_{5} (12)

ln ∣ ln (4) ∣ - ln ∣ ln (2) ∣

ln (5) + 4 ln (x + 4) + 4 ln (x^{2} + 4)

1 - ln (3 x)

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

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

What is log_{5}(3)+log_{5}(4) ?
The solution to log_{5}(3)+log_{5}(4) is log_{5}(12)