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Popular >

simplify log_{5}(4)-log_{5}(4/125)

Solution

simplify

lo g_{5} (4) - lo g_{5} (\frac{4}{125})

Solution

3

Solution steps

lo g_{5} (4) - lo g_{5} (\frac{4}{125})

Apply log rule:

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

lo g_{5} (4) - lo g_{5} (\frac{4}{125}) = lo g_{5} (\frac{4}{\frac{4}{125}})

= lo g_{5} (\frac{4}{\frac{4}{125}})

\frac{4}{\frac{4}{125}} = 5^{3}

= lo g_{5} (5^{3})

Apply log rule:

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

= 3

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Frequently Asked Questions (FAQ)

What is log_{5}(4)-log_{5}(4/125) ?
The solution to log_{5}(4)-log_{5}(4/125) is 3