What is ln((0.001*0.5)/(0.5)) ?

The solution to ln((0.001*0.5)/(0.5)) is ln(0.001)

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simplify ln((0.001*0.5)/(0.5))

simplify

ln (\frac{0.001 \cdot 0.5}{0.5})

ln (0.001)

Decimal Notation

- 6.90775 \dots

Solution steps

ln (\frac{0.001 \cdot 0.5}{0.5})

Apply log rule:

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

ln (\frac{0.001 \cdot 0.5}{0.5}) = ln (0.001 \cdot 0.5) - ln (0.5)

= ln (0.001 \cdot 0.5) - ln (0.5)

Apply log rule:

lo g_{c} (ab) = lo g_{c} (a) + lo g_{c} (b)

ln (0.001 \cdot 0.5) = ln (0.001) + ln (0.5)

= ln (0.001) + ln (0.5) - ln (0.5)

Add similar elements:

ln (0.5) - ln (0.5) = 0

= ln (0.001)

9 \cdot ln (4) - ln (2!) + 7 \cdot ln (2) - ln (7!) - 3 \cdot 4

0.75 \cdot ln (\frac{27}{11})

- ln (u) + ln (u - 1)

ln (1 + x^{2}) + \frac{1}{10} ln (x) - ln (x + 7)

\frac{( - ln \frac{y}{x} + 4 - 6 ln \frac{y}{x} - 1 )}{5} + ln (x)

What is ln((0.001*0.5)/(0.5)) ?
The solution to ln((0.001*0.5)/(0.5)) is ln(0.001)