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Popular >

simplify log_{5}(375)-log_{5}(3)

Solution

simplify

lo g_{5} (375) - lo g_{5} (3)

Solution

3

Solution steps

lo g_{5} (375) - lo g_{5} (3)

Apply log rule:

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

lo g_{5} (375) - lo g_{5} (3) = lo g_{5} (\frac{375}{3})

= lo g_{5} (\frac{375}{3})

\frac{375}{3} = 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}(375)-log_{5}(3) ?
The solution to log_{5}(375)-log_{5}(3) is 3