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Popular >

simplify log_{5}(3)-log_{5}(75)

Solution

simplify

lo g_{5} (3) - lo g_{5} (75)

Solution

- 2

Solution steps

lo g_{5} (3) - lo g_{5} (75)

Apply log rule:

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

lo g_{5} (3) - lo g_{5} (75) = lo g_{5} (\frac{3}{75})

= lo g_{5} (\frac{3}{75})

\frac{3}{75} = 5^{- 2}

= lo g_{5} (5^{- 2})

Apply log rule:

lo g_{a} (a^{b}) = b

= - 2

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Frequently Asked Questions (FAQ)

What is log_{5}(3)-log_{5}(75) ?
The solution to log_{5}(3)-log_{5}(75) is -2