What is ln(1.999-2)-ln(1.999+1) ?

The solution to ln(1.999-2)-ln(1.999+1) is ln(-0.00033…)

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simplify ln(1.999-2)-ln(1.999+1)

simplify

ln (1.999 - 2) - ln (1.999 + 1)

ln (- 0.00033 \dots)

Solution steps

ln (1.999 - 2) - ln (1.999 + 1)

Apply log rule:

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

ln (1.999 - 2) - ln (1.999 + 1) = ln (\frac{1.999 - 2}{1 + 1.999})

= ln (\frac{1.999 - 2}{1.999 + 1})

\frac{1.999 - 2}{1.999 + 1} = - 0.00033 \dots

= ln (- 0.00033 \dots)

2194.075 ln (- 300) - 2194.075 ln (- 1000)

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What is ln(1.999-2)-ln(1.999+1) ?
The solution to ln(1.999-2)-ln(1.999+1) is ln(-0.00033…)