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Popular >

simplify log_{e}(1/10)

Solution

simplify

lo g_{e} (\frac{1}{10})

Solution

- ln (10)

+1

Decimal Notation

- 2.30258 \dots

Solution steps

lo g_{e} (\frac{1}{10})

Apply log rule:

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

lo g_{e} (\frac{1}{10}) = lo g_{e} (1) - lo g_{e} (10)

= lo g_{e} (1) - lo g_{e} (10)

Apply log rule:

lo g_{a} (1) = 0

= 0 - lo g_{e} (10)

Apply log rule:

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

= 0 - ln (10)

0 - ln (10) = - ln (10)

= - ln (10)

Popular Examples

simplify log_{10}((2x-8)/3)simplify

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simplify ln(6/11)simplify

ln (\frac{6}{11})

simplify log_{2}((x^54^x)/(2^{x^4)})simplify

lo g_{2} (\frac{x ^{5} 4 ^{x}}{2 ^{x^{4}}})

Frequently Asked Questions (FAQ)

What is log_{e}(1/10) ?
The solution to log_{e}(1/10) is -ln(10)