What is 1/5 log_{6}(8)-(log_{6}(5)+log_{6}(3)) ?

The solution to 1/5 log_{6}(8)-(log_{6}(5)+log_{6}(3)) is 3/5 log_{6}(2)-log_{6}(15)

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simplify 1/5 log_{6}(8)-(log_{6}(5)+log_{6}(3))

simplify

\frac{1}{5} lo g_{6} (8) - (lo g_{6} (5) + lo g_{6} (3))

\frac{3}{5} lo g_{6} (2) - lo g_{6} (15)

Decimal Notation

- 1.27927 \dots

Solution steps

\frac{1}{5} lo g_{6} (8) - (lo g_{6} (5) + lo g_{6} (3))

\frac{1}{5} lo g_{6} (8) = \frac{3}{5} lo g_{6} (2)

lo g_{6} (5) + lo g_{6} (3) = lo g_{6} (15)

= \frac{3}{5} lo g_{6} (2) - lo g_{6} (15)

lo g_{10} (5) - 2 lo g_{10} (3)

0.6 lo g_{2} (0.6) + 0.4 lo g_{2} (0.4)

lo g_{10} (25) + lo g_{10} (4) + lo g_{10} (2)

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

lo g_{3} (405) + lo g_{3} (5)

What is 1/5 log_{6}(8)-(log_{6}(5)+log_{6}(3)) ?
The solution to 1/5 log_{6}(8)-(log_{6}(5)+log_{6}(3)) is 3/5 log_{6}(2)-log_{6}(15)