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Popular >

simplify log_{10}(1.01)

Solution

simplify

lo g_{10} (1.01)

Solution

lo g_{10} (101) - 2

+1

Decimal Notation

0.00432 \dots

Solution steps

lo g_{10} (1.01)

1.01 = \frac{101}{100}

= lo g_{10} (\frac{101}{100})

Apply log rule:

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

lo g_{10} (\frac{101}{100}) = lo g_{10} (101) - lo g_{10} (100)

= lo g_{10} (101) - lo g_{10} (100)

lo g_{10} (100) = 2

= lo g_{10} (101) - 2

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Frequently Asked Questions (FAQ)

What is log_{10}(1.01) ?
The solution to log_{10}(1.01) is log_{10}(101)-2