What is simplify-log_{10}(0.03) ?

The solution to simplify-log_{10}(0.03) is -log_{10}(3)+2

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simplify-log_{10}(0.03)

simplify

- lo g_{10} (0.03)

- lo g_{10} (3) + 2

Decimal Notation

1.52287 \dots

Solution steps

- lo g_{10} (0.03)

0.03 = \frac{3}{100}

= - lo g_{10} (\frac{3}{100})

Apply log rule:

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

- lo g_{10} (\frac{3}{100}) = - (lo g_{10} (3) - lo g_{10} (100))

= - (lo g_{10} (3) - lo g_{10} (100))

lo g_{10} (100) = 2

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

Apply the distributive law:

- (a - b) = - a + b

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

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

- 1 + \frac{5}{2}

(2 x + 3) (x - 5)

(3 - x)^{4}

\frac{5 m + 25}{14} \cdot \frac{7 m + 7}{10 m + 50}

(x^{4} - y)^{5}

What is simplify-log_{10}(0.03) ?
The solution to simplify-log_{10}(0.03) is -log_{10}(3)+2