What is log_{5}(30)+log_{5}(6) ?

The solution to log_{5}(30)+log_{5}(6) is log_{5}(180)

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simplify log_{5}(30)+log_{5}(6)

simplify

lo g_{5} (30) + lo g_{5} (6)

lo g_{5} (180)

Decimal Notation

3.22656 \dots

Solution steps

lo g_{5} (30) + lo g_{5} (6)

Apply log rule:

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

lo g_{5} (30) + lo g_{5} (6) = lo g_{5} (30 \cdot 6)

= lo g_{5} (30 \cdot 6)

Multiply the numbers:

30 \cdot 6 = 180

= lo g_{5} (180)

ln (a x)

lo g_{b} (7 x \cdot 2 y)

20 lo g_{2} (x) - 5 lo g_{2} (y)

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

lo g_{10} (48) - lo g_{10} (2)

What is log_{5}(30)+log_{5}(6) ?
The solution to log_{5}(30)+log_{5}(6) is log_{5}(180)