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Popular >

simplify log_{10}(0.0003)

Solution

simplify

lo g_{10} (0.0003)

Solution

lo g_{10} (3) - 4

+1

Decimal Notation

- 3.52287 \dots

Solution steps

lo g_{10} (0.0003)

0.0003 = \frac{3}{10000}

= lo g_{10} (\frac{3}{10000})

Apply log rule:

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

lo g_{10} (\frac{3}{10000}) = lo g_{10} (3) - lo g_{10} (10000)

= lo g_{10} (3) - lo g_{10} (10000)

lo g_{10} (10000) = 4

= lo g_{10} (3) - 4

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Frequently Asked Questions (FAQ)

What is log_{10}(0.0003) ?
The solution to log_{10}(0.0003) is log_{10}(3)-4