What is ln((10000-5041)/(20164)) ?

The solution to ln((10000-5041)/(20164)) is ln(4959)-2ln(142)

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simplify ln((10000-5041)/(20164))

simplify

ln (\frac{10000 - 5041}{20164})

ln (4959) - 2 ln (142)

Decimal Notation

- 1.40269 \dots

Solution steps

ln (\frac{10000 - 5041}{20164})

Apply log rule:

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

ln (\frac{10000 - 5041}{20164}) = ln (10000 - 5041) - ln (20164)

= ln (10000 - 5041) - ln (20164)

Subtract the numbers:

10000 - 5041 = 4959

= ln (4959) - ln (20164)

ln (20164) = 2 ln (142)

= ln (4959) - 2 ln (142)

ln (\frac{0.87}{12})

ln (θ x^{- θ - 1})

ln (\frac{15}{46})

lo g_{5} (x^{4^{3}})

ln (k e^{x^{d}})

What is ln((10000-5041)/(20164)) ?
The solution to ln((10000-5041)/(20164)) is ln(4959)-2ln(142)