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Popular >

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

Solution

simplify

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

Solution

1

Solution steps

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

Apply log rule:

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

lo g_{6} (30) - lo g_{6} (5) = lo g_{6} (\frac{30}{5})

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

Divide the numbers:

\frac{30}{5} = 6

= lo g_{6} (6)

Apply log rule:

lo g_{a} (a) = 1

= 1

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Frequently Asked Questions (FAQ)

What is log_{6}(30)-log_{6}(5) ?
The solution to log_{6}(30)-log_{6}(5) is 1