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

The solution to log_{6}(30)+log_{6}(5) is log_{6}(150)

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

simplify

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

lo g_{6} (150)

Decimal Notation

2.79648 \dots

Solution steps

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

Apply log rule:

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

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

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

Multiply the numbers:

30 \cdot 5 = 150

= lo g_{6} (150)

lo g_{2} (5 ab)

lo g_{7} (\frac{x + 8}{5 x - 10})

3.8 + lo g_{10} (\frac{0.48}{0.22})

lo g_{b} (x^{4} z)

lo g_{6} (\frac{w ^{2}}{v})

What is log_{6}(30)+log_{6}(5) ?
The solution to log_{6}(30)+log_{6}(5) is log_{6}(150)