What is simplify-1/2 ln((0.0009)/2) ?

The solution to simplify-1/2 ln((0.0009)/2) is -1/2 (ln(0.0009)-ln(2))

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simplify-1/2 ln((0.0009)/2)

simplify

- \frac{1}{2} ln (\frac{0.0009}{2})

- \frac{1}{2} (ln (0.0009) - ln (2))

Decimal Notation

3.85313 \dots

Solution steps

- \frac{1}{2} ln (\frac{0.0009}{2})

Apply log rule:

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

ln (\frac{0.0009}{2}) = ln (0.0009) - ln (2)

= - \frac{1}{2} (ln (0.0009) - ln (2))

= - \frac{1}{2} (ln (0.0009) - ln (2))

ln (1 + \frac{1}{x}) - ln (1 + \frac{1}{x - 1})

- \frac{24 ln ( 2 ) - 3 ln ( 15 )}{2 ( ln ( 15 ) - 9 ln ( 2 ) )}

lo g_{e} (\frac{100000}{1200})

2 ln (7) + ln (\frac{π ^{6}}{3})

ln (\frac{x}{x + y})

What is simplify-1/2 ln((0.0009)/2) ?
The solution to simplify-1/2 ln((0.0009)/2) is -1/2 (ln(0.0009)-ln(2))