What is ln(1/(1-\frac{0.0003){2}}) ?

The solution to ln(1/(1-\frac{0.0003){2}}) is -ln((1.9997)/2)

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simplify ln(1/(1-\frac{0.0003){2}})

simplify

ln (\frac{1}{1 - \frac{0.0003}{2}})

- ln (\frac{1.9997}{2})

Decimal Notation

0.00015 \dots

Solution steps

ln (\frac{1}{1 - \frac{0.0003}{2}})

Apply log rule:

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

ln (\frac{1}{1 - \frac{0.0003}{2}}) = ln (1) - ln (1 - \frac{0.0003}{2})

= ln (1) - ln (- \frac{0.0003}{2} + 1)

Apply log rule:

lo g_{a} (1) = 0

= 0 - ln (- \frac{0.0003}{2} + 1)

Join

1 - \frac{0.0003}{2} : \frac{1.9997}{2}

= 0 - ln (\frac{1.9997}{2})

0 - ln (\frac{1.9997}{2}) = - ln (\frac{1.9997}{2})

= - ln (\frac{1.9997}{2})

ln (\frac{100 + 9.12}{9.12})

ln (a^{k})

8 ln (\frac{822}{1644})

ln (x \cdot ln (x + 1))

lo g_{4} (5) + lo g_{4} (x) lo g_{4} (60)

What is ln(1/(1-\frac{0.0003){2}}) ?
The solution to ln(1/(1-\frac{0.0003){2}}) is -ln((1.9997)/2)