What is simplify-log_{10}(9/1000018) ?

The solution to simplify-log_{10}(9/1000018) is -2log_{10}(3)+log_{10}(1000018)

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simplify-log_{10}(9/1000018)

simplify

- lo g_{10} (\frac{9}{1000018})

- 2 lo g_{10} (3) + lo g_{10} (1000018)

Decimal Notation

5.04576 \dots

Solution steps

- lo g_{10} (\frac{9}{1000018})

Apply log rule:

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

- lo g_{10} (\frac{9}{1000018}) = - (lo g_{10} (9) - lo g_{10} (1000018))

= - (lo g_{10} (9) - lo g_{10} (1000018))

lo g_{10} (9) = 2 lo g_{10} (3)

= - (2 lo g_{10} (3) - lo g_{10} (1000018))

Apply the distributive law:

- (a - b) = - a + b

- (2 lo g_{10} (3) - lo g_{10} (1000018)) = - 2 lo g_{10} (3) + lo g_{10} (1000018)

= - 2 lo g_{10} (3) + lo g_{10} (1000018)

- \frac{2}{3} lo g_{5} (4 m^{2}) + \frac{1}{2} lo g_{5} (16 m^{2})

ln (\frac{6.1}{9})

lo g_{10} (\frac{15}{4}) + lo g_{10} (\frac{400000}{15})

lo g_{9} (\frac{x}{w})

lo g_{7} (\frac{1}{7} m n^{2})

What is simplify-log_{10}(9/1000018) ?
The solution to simplify-log_{10}(9/1000018) is -2log_{10}(3)+log_{10}(1000018)