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Popular >

simplify log_{10}(12.5)

Solution

simplify

lo g_{10} (12.5)

Solution

3 lo g_{10} (5) - 1

+1

Decimal Notation

1.09691 \dots

Solution steps

lo g_{10} (12.5)

12.5 = \frac{125}{10}

= lo g_{10} (\frac{125}{10})

Apply log rule:

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

lo g_{10} (\frac{125}{10}) = lo g_{10} (125) - lo g_{10} (10)

= lo g_{10} (125) - lo g_{10} (10)

lo g_{10} (125) = 3 lo g_{10} (5)

lo g_{10} (10) = 1

= 3 lo g_{10} (5) - 1

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Frequently Asked Questions (FAQ)

What is log_{10}(12.5) ?
The solution to log_{10}(12.5) is 3log_{10}(5)-1