What is ln((1005+5)/(1000)) ?

The solution to ln((1005+5)/(1000)) is ln(1010)-3ln(10)

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simplify ln((1005+5)/(1000))

simplify

ln (\frac{1005 + 5}{1000})

ln (1010) - 3 ln (10)

Decimal Notation

0.00995 \dots

Solution steps

ln (\frac{1005 + 5}{1000})

Apply log rule:

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

ln (\frac{1005 + 5}{1000}) = ln (1005 + 5) - ln (1000)

= ln (1005 + 5) - ln (1000)

Add the numbers:

1005 + 5 = 1010

= ln (1010) - ln (1000)

ln (1000) = 3 ln (10)

= ln (1010) - 3 ln (10)

ln (\frac{x}{1})

ln^{2} (x) - ln (x)

lo g_{11} (- 6 n)

ln (2 \cdot 2^{\frac{1}{5}})

ln (2 x^{2} + 2 x) - ln (x)

What is ln((1005+5)/(1000)) ?
The solution to ln((1005+5)/(1000)) is ln(1010)-3ln(10)