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Popular >

simplify log_{10}(0.9)

Solution

simplify

lo g_{10} (0.9)

Solution

2 lo g_{10} (3) - 1

+1

Decimal Notation

- 0.04575 \dots

Solution steps

lo g_{10} (0.9)

0.9 = \frac{9}{10}

= lo g_{10} (\frac{9}{10})

Apply log rule:

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

lo g_{10} (\frac{9}{10}) = lo g_{10} (9) - lo g_{10} (10)

= lo g_{10} (9) - lo g_{10} (10)

lo g_{10} (9) = 2 lo g_{10} (3)

lo g_{10} (10) = 1

= 2 lo g_{10} (3) - 1

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Frequently Asked Questions (FAQ)

What is log_{10}(0.9) ?
The solution to log_{10}(0.9) is 2log_{10}(3)-1