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Popular >

simplify 2log_{10}(0.1)+log_{10}(10)+log_{10}(0.001)-5log_{10}(0.0001)

Solution

simplify

2 lo g_{10} (0.1) + lo g_{10} (10) + lo g_{10} (0.001) - 5 lo g_{10} (0.0001)

Solution

16

Solution steps

2 lo g_{10} (0.1) + lo g_{10} (10) + lo g_{10} (0.001) - 5 lo g_{10} (0.0001)

2 lo g_{10} (0.1) = - 2

lo g_{10} (10) = 1

lo g_{10} (0.001) = - 3

5 lo g_{10} (0.0001) = - 20

= - 2 + 1 - 3 - (- 20)

Apply rule:

a - (- b) = a + b

- 3 - (- 20) = - 3 + 20

= - 2 + 1 - 3 + 20

Add the numbers:

- 2 + 1 - 3 + 20 = 16

= 16

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Frequently Asked Questions (FAQ)

What is 2log_{10}(0.1)+log_{10}(10)+log_{10}(0.001)-5log_{10}(0.0001) ?
The solution to 2log_{10}(0.1)+log_{10}(10)+log_{10}(0.001)-5log_{10}(0.0001) is 16