What is simplify-log_{10}(0.00003) ?

The solution to simplify-log_{10}(0.00003) is -log_{10}(3)+5

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simplify-log_{10}(0.00003)

simplify

- lo g_{10} (0.00003)

- lo g_{10} (3) + 5

Decimal Notation

4.52287 \dots

Solution steps

- lo g_{10} (0.00003)

0.00003 = \frac{3}{100000}

= - lo g_{10} (\frac{3}{100000})

Apply log rule:

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

- lo g_{10} (\frac{3}{100000}) = - (lo g_{10} (3) - lo g_{10} (100000))

= - (lo g_{10} (3) - lo g_{10} (100000))

lo g_{10} (100000) = 5

= - (lo g_{10} (3) - 5)

Apply the distributive law:

- (a - b) = - a + b

- (lo g_{10} (3) - 5) = - lo g_{10} (3) + 5

= - lo g_{10} (3) + 5

[(5^{3})^{4}]^{2}

(103) + (- 142)

\frac{x + 3}{4} \cdot \frac{3 x - 18}{3 x + 9}

- \frac{16}{- 4}

2 lo g_{3} (3)

What is simplify-log_{10}(0.00003) ?
The solution to simplify-log_{10}(0.00003) is -log_{10}(3)+5