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Popular >

simplify log_{b}(32/125)

Solution

simplify

lo g_{b} (\frac{32}{125})

Solution

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

Solution steps

lo g_{b} (\frac{32}{125})

Apply log rule:

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

lo g_{b} (\frac{32}{125}) = lo g_{b} (32) - lo g_{b} (125)

= lo g_{b} (32) - lo g_{b} (125)

lo g_{b} (32) = 5 lo g_{b} (2)

lo g_{b} (125) = 3 lo g_{b} (5)

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

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Frequently Asked Questions (FAQ)

What is log_{b}(32/125) ?
The solution to log_{b}(32/125) is 5log_{b}(2)-3log_{b}(5)