What is simplify-log_{10}(0.0003) ?

The solution to simplify-log_{10}(0.0003) is -log_{10}(3)+4

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simplify-log_{10}(0.0003)

simplify

- lo g_{10} (0.0003)

- lo g_{10} (3) + 4

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)

Apply the distributive law:

- (a - b) = - a + b

- (lo g_{10} (3) - 4) = - lo g_{10} (3) + 4

= - lo g_{10} (3) + 4

(2 n - 1)^{2}

\frac{27}{81}

\frac{35 x - 35}{25 x - 40}

(4 p^{2} q)^{3}

2 \frac{7}{9}

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