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Popular >

simplify log_{e}(25/100)

Solution

simplify

lo g_{e} (\frac{25}{100})

Solution

2 ln (5) - 2 ln (10)

+1

Decimal Notation

- 1.38629 \dots

Solution steps

lo g_{e} (\frac{25}{100})

Apply log rule:

lo g_{c} (\frac{a}{b}) = lo g_{c} (a) - lo g_{c} (b)

lo g_{e} (\frac{25}{100}) = lo g_{e} (25) - lo g_{e} (100)

= lo g_{e} (25) - lo g_{e} (100)

Apply log rule:

lo g_{e} (x) = ln (x)

= ln (25) - lo g_{e} (100)

Apply log rule:

lo g_{e} (x) = ln (x)

= ln (25) - ln (100)

ln (25) = 2 ln (5)

ln (100) = 2 ln (10)

= 2 ln (5) - 2 ln (10)

Popular Examples

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ln (\frac{12600}{6000})

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- \frac{3}{2} ln (\frac{3}{14})

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ln (\frac{x}{ln ( y )})

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ln (x x - 5)

simplify ln(1/5)+1 simplify

ln (\frac{1}{5}) + 1

Frequently Asked Questions (FAQ)

What is log_{e}(25/100) ?
The solution to log_{e}(25/100) is 2ln(5)-2ln(10)