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Popular >

simplify log_{10}(2)-log_{10}(0.2)

Solution

simplify

lo g_{10} (2) - lo g_{10} (0.2)

Solution

1

Solution steps

lo g_{10} (2) - lo g_{10} (0.2)

Apply log rule:

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

lo g_{10} (2) - lo g_{10} (0.2) = lo g_{10} (\frac{2}{0.2})

= lo g_{10} (\frac{2}{0.2})

Divide the numbers:

\frac{2}{0.2} = 10

= lo g_{10} (10)

Apply log rule:

lo g_{a} (a) = 1

= 1

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Frequently Asked Questions (FAQ)

What is log_{10}(2)-log_{10}(0.2) ?
The solution to log_{10}(2)-log_{10}(0.2) is 1