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Popular >

simplify log_{5}(100)-log_{5}(4)

Solution

simplify

lo g_{5} (100) - lo g_{5} (4)

Solution

2

Solution steps

lo g_{5} (100) - lo g_{5} (4)

Apply log rule:

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

lo g_{5} (100) - lo g_{5} (4) = lo g_{5} (\frac{100}{4})

= lo g_{5} (\frac{100}{4})

\frac{100}{4} = 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}(100)-log_{5}(4) ?
The solution to log_{5}(100)-log_{5}(4) is 2