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

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

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

simplify

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

lo g_{5} (24)

Decimal Notation

1.97463 \dots

Solution steps

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

Apply log rule:

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

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

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

Multiply the numbers:

8 \cdot 3 = 24

= lo g_{5} (24)

ln (6 a) - 4 ln (b) - ln (2 a)

0.0259 ln (\frac{2 \cdot 1 0 ^{5}}{2.8 \cdot 1 0 ^{19}})

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

2 lo g_{10} (5) - \frac{1}{2} lo g_{10} (5)

2 ln (5 x^{2}) - ln (2 x^{2})

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