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Popular >

simplify log_{100}(0.95)

Solution

simplify

lo g_{100} (0.95)

Solution

lo g_{100} (95) - 1

+1

Decimal Notation

- 0.01113 \dots

Solution steps

lo g_{100} (0.95)

0.95 = \frac{95}{100}

= lo g_{100} (\frac{95}{100})

Apply log rule:

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

lo g_{100} (\frac{95}{100}) = lo g_{100} (95) - lo g_{100} (100)

= lo g_{100} (95) - lo g_{100} (100)

lo g_{100} (100) = 1

= lo g_{100} (95) - 1

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Frequently Asked Questions (FAQ)

What is log_{100}(0.95) ?
The solution to log_{100}(0.95) is log_{100}(95)-1