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Popular >

simplify log_{5}(8/x)

Solution

simplify

lo g_{5} (\frac{8}{x})

Solution

3 lo g_{5} (2) - lo g_{5} (x)

Solution steps

lo g_{5} (\frac{8}{x})

Apply log rule:

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

lo g_{5} (\frac{8}{x}) = lo g_{5} (8) - lo g_{5} (x)

= lo g_{5} (8) - lo g_{5} (x)

lo g_{5} (8) = 3 lo g_{5} (2)

= 3 lo g_{5} (2) - lo g_{5} (x)

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Frequently Asked Questions (FAQ)

What is log_{5}(8/x) ?
The solution to log_{5}(8/x) is 3log_{5}(2)-log_{5}(x)