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Popular >

simplify log_{10}(2.1)

Solution

simplify

lo g_{10} (2.1)

Solution

lo g_{10} (21) - 1

+1

Decimal Notation

0.32221 \dots

Solution steps

lo g_{10} (2.1)

2.1 = \frac{21}{10}

= lo g_{10} (\frac{21}{10})

Apply log rule:

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

lo g_{10} (\frac{21}{10}) = lo g_{10} (21) - lo g_{10} (10)

= lo g_{10} (21) - lo g_{10} (10)

lo g_{10} (10) = 1

= lo g_{10} (21) - 1

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Frequently Asked Questions (FAQ)

What is log_{10}(2.1) ?
The solution to log_{10}(2.1) is log_{10}(21)-1