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Popular >

simplify log_{10}(2.025)

Solution

simplify

lo g_{10} (2.025)

Solution

2 lo g_{10} (45) - 3

+1

Decimal Notation

0.30642 \dots

Solution steps

lo g_{10} (2.025)

2.025 = \frac{2025}{1000}

= lo g_{10} (\frac{2025}{1000})

Apply log rule:

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

lo g_{10} (\frac{2025}{1000}) = lo g_{10} (2025) - lo g_{10} (1000)

= lo g_{10} (2025) - lo g_{10} (1000)

lo g_{10} (2025) = 2 lo g_{10} (45)

lo g_{10} (1000) = 3

= 2 lo g_{10} (45) - 3

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Frequently Asked Questions (FAQ)

What is log_{10}(2.025) ?
The solution to log_{10}(2.025) is 2log_{10}(45)-3