What is simplify-log_{10}(0.15) ?

The solution to simplify-log_{10}(0.15) is -log_{10}(15)+2

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simplify-log_{10}(0.15)

simplify

- lo g_{10} (0.15)

- lo g_{10} (15) + 2

Decimal Notation

0.82390 \dots

Solution steps

- lo g_{10} (0.15)

0.15 = \frac{15}{100}

= - lo g_{10} (\frac{15}{100})

Apply log rule:

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

- lo g_{10} (\frac{15}{100}) = - (lo g_{10} (15) - lo g_{10} (100))

= - (lo g_{10} (15) - lo g_{10} (100))

lo g_{10} (100) = 2

= - (lo g_{10} (15) - 2)

Apply the distributive law:

- (a - b) = - a + b

- (lo g_{10} (15) - 2) = - lo g_{10} (15) + 2

= - lo g_{10} (15) + 2

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3 x^{2} - 3 x^{2}

x^{2} - \frac{1}{x}

What is simplify-log_{10}(0.15) ?
The solution to simplify-log_{10}(0.15) is -log_{10}(15)+2