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Popular >

simplify log_{5}(50)-log_{5}(0.4)

Solution

simplify

lo g_{5} (50) - lo g_{5} (0.4)

Solution

3

Solution steps

lo g_{5} (50) - lo g_{5} (0.4)

Apply log rule:

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

lo g_{5} (50) - lo g_{5} (0.4) = lo g_{5} (\frac{50}{0.4})

= lo g_{5} (\frac{50}{0.4})

Divide the numbers:

\frac{50}{0.4} = 125

= lo g_{5} (125)

Factor the number:

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}(50)-log_{5}(0.4) ?
The solution to log_{5}(50)-log_{5}(0.4) is 3