What is log_{5}(3)+log_{5}(8) ?

The solution to log_{5}(3)+log_{5}(8) is log_{5}(24)

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simplify log_{5}(3)+log_{5}(8)

simplify

lo g_{5} (3) + lo g_{5} (8)

lo g_{5} (24)

Decimal Notation

1.97463 \dots

Solution steps

lo g_{5} (3) + lo g_{5} (8)

Apply log rule:

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

lo g_{5} (3) + lo g_{5} (8) = lo g_{5} (3 \cdot 8)

= lo g_{5} (3 \cdot 8)

Multiply the numbers:

3 \cdot 8 = 24

= lo g_{5} (24)

lo g_{4} (\frac{x}{64})

lo g_{10} (\frac{d}{n})

ln (\frac{1}{4 k})

ln (\frac{e ^{3}}{11})

2 ln (a) + 3 ln (b)

What is log_{5}(3)+log_{5}(8) ?
The solution to log_{5}(3)+log_{5}(8) is log_{5}(24)