What is ln((0.99999)/(1-0.99999)) ?

The solution to ln((0.99999)/(1-0.99999)) is ln(0.99999)-ln(0.00001)

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simplify ln((0.99999)/(1-0.99999))

simplify

ln (\frac{0.99999}{1 - 0.99999})

ln (0.99999) - ln (0.00001)

Decimal Notation

11.51291 \dots

Solution steps

ln (\frac{0.99999}{1 - 0.99999})

Apply log rule:

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

ln (\frac{0.99999}{1 - 0.99999}) = ln (0.99999) - ln (1 - 0.99999)

= ln (0.99999) - ln (1 - 0.99999)

Subtract the numbers:

1 - 0.99999 = 0.00001

= ln (0.99999) - ln (0.00001)

ln (x) - ln (x - 100)

ln (\frac{y}{x} e^{t})

- 2 ln (\frac{1}{4})

ln (4 e^{y})

2 lo g_{\frac{3}{7}} (7)

What is ln((0.99999)/(1-0.99999)) ?
The solution to ln((0.99999)/(1-0.99999)) is ln(0.99999)-ln(0.00001)