What is simplify-log_{6}(3)+2log_{6}(3)+log_{6}(5) ?

The solution to simplify-log_{6}(3)+2log_{6}(3)+log_{6}(5) is log_{6}(15)

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simplify-log_{6}(3)+2log_{6}(3)+log_{6}(5)

simplify

- lo g_{6} (3) + 2 lo g_{6} (3) + lo g_{6} (5)

lo g_{6} (15)

Decimal Notation

1.51139 \dots

Solution steps

- lo g_{6} (3) + 2 lo g_{6} (3) + lo g_{6} (5)

Add similar elements:

- lo g_{6} (3) + 2 lo g_{6} (3) = lo g_{6} (3)

= lo g_{6} (3) + lo g_{6} (5)

Apply log rule:

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

lo g_{6} (3) + lo g_{6} (5) = lo g_{6} (3 \cdot 5)

= lo g_{6} (3 \cdot 5)

Multiply the numbers:

3 \cdot 5 = 15

= lo g_{6} (15)

ln (2 e) - ln (e)

\frac{1}{2} lo g_{10} (c) + 6 lo g_{10} (d)

lo g_{a} (\frac{1}{6})

lo g_{3} (\frac{9}{x + 5})

What is simplify-log_{6}(3)+2log_{6}(3)+log_{6}(5) ?
The solution to simplify-log_{6}(3)+2log_{6}(3)+log_{6}(5) is log_{6}(15)