What is log_{6}(60)-log_{6}(30) ?

The solution to log_{6}(60)-log_{6}(30) is log_{6}(2)

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simplify log_{6}(60)-log_{6}(30)

simplify

lo g_{6} (60) - lo g_{6} (30)

lo g_{6} (2)

Decimal Notation

0.38685 \dots

Solution steps

lo g_{6} (60) - lo g_{6} (30)

Apply log rule:

lo g_{a} (x) - lo g_{a} (y) = lo g_{a} (\frac{x}{y})

lo g_{6} (60) - lo g_{6} (30) = lo g_{6} (\frac{60}{30})

= lo g_{6} (\frac{60}{30})

Divide the numbers:

\frac{60}{30} = 2

= lo g_{6} (2)

lo g_{b} (u^{2} v^{9})

lo g_{2} (\frac{x ^{9}}{5 y})

lo g_{2} (6) + lo g_{2} (7)

lo g_{2} (6) + lo g_{2} (9)

- lo g_{10} (6.3 \times 1 0^{- 8})

What is log_{6}(60)-log_{6}(30) ?
The solution to log_{6}(60)-log_{6}(30) is log_{6}(2)