What is simplify-log_{10}(0.003) ?

The solution to simplify-log_{10}(0.003) is -log_{10}(3)+3

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simplify-log_{10}(0.003)

simplify

- lo g_{10} (0.003)

- lo g_{10} (3) + 3

Decimal Notation

2.52287 \dots

Solution steps

- lo g_{10} (0.003)

0.003 = \frac{3}{1000}

= - lo g_{10} (\frac{3}{1000})

Apply log rule:

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

- lo g_{10} (\frac{3}{1000}) = - (lo g_{10} (3) - lo g_{10} (1000))

= - (lo g_{10} (3) - lo g_{10} (1000))

lo g_{10} (1000) = 3

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

Apply the distributive law:

- (a - b) = - a + b

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

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

12 x - 4 y + 12 x y - 8 x - 14 y + 6 x y

ln (e^{8 x})

(- - 8) (- 18)

\frac{21}{27}

\frac{12 a ^{3} b - 8 a ^{2} b ^{2} - 2 ab}{2 ab}

What is simplify-log_{10}(0.003) ?
The solution to simplify-log_{10}(0.003) is -log_{10}(3)+3