What is log_{6}(30)-log_{6}(10) ?

The solution to log_{6}(30)-log_{6}(10) is log_{6}(3)

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simplify log_{6}(30)-log_{6}(10)

simplify

lo g_{6} (30) - lo g_{6} (10)

lo g_{6} (3)

Decimal Notation

0.61314 \dots

Solution steps

lo g_{6} (30) - lo g_{6} (10)

Apply log rule:

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

lo g_{6} (30) - lo g_{6} (10) = lo g_{6} (\frac{30}{10})

= lo g_{6} (\frac{30}{10})

Divide the numbers:

\frac{30}{10} = 3

= lo g_{6} (3)

- ln (\frac{a}{b})

- lo g_{10} (2.7 \cdot 1 0^{- 3})

ln (x) - 3 [ln (x - 5) + ln (x + 5)]

ln (\frac{2}{27})

lo g_{2} (\frac{a ^{2} - 9}{5})

What is log_{6}(30)-log_{6}(10) ?
The solution to log_{6}(30)-log_{6}(10) is log_{6}(3)