What is simplify-log_{10}(0.015) ?

The solution to simplify-log_{10}(0.015) is -log_{10}(15)+3

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simplify-log_{10}(0.015)

simplify

- lo g_{10} (0.015)

- lo g_{10} (15) + 3

Decimal Notation

1.82390 \dots

Solution steps

- lo g_{10} (0.015)

0.015 = \frac{15}{1000}

= - lo g_{10} (\frac{15}{1000})

Apply log rule:

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

- lo g_{10} (\frac{15}{1000}) = - (lo g_{10} (15) - lo g_{10} (1000))

= - (lo g_{10} (15) - lo g_{10} (1000))

lo g_{10} (1000) = 3

= - (lo g_{10} (15) - 3)

Apply the distributive law:

- (a - b) = - a + b

- (lo g_{10} (15) - 3) = - lo g_{10} (15) + 3

= - lo g_{10} (15) + 3

\frac{1 - i}{- 2 + 2 i}

(\frac{1}{7} x + \frac{3}{8}) + (\frac{2}{9} x - \frac{1}{8})

(- 1 + 2)^{2}

2 0^{2} - 1 2^{2}

(x - 2) (4 x + 1)

What is simplify-log_{10}(0.015) ?
The solution to simplify-log_{10}(0.015) is -log_{10}(15)+3