What is ln(3/(sqrt(3)))-ln(1) ?

The solution to ln(3/(sqrt(3)))-ln(1) is 1/2 ln(3)

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simplify ln(3/(sqrt(3)))-ln(1)

simplify

ln (\frac{3}{3}) - ln (1)

\frac{1}{2} ln (3)

Decimal Notation

0.54930 \dots

Solution steps

ln (\frac{3}{3}) - ln (1)

Apply log rule:

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

ln (\frac{3}{3}) = ln (3) - ln (3)

= ln (3) - ln (3) - ln (1)

ln (3) = \frac{1}{2} ln (3)

ln (1) = 0

= ln (3) - \frac{1}{2} ln (3) - 0

Add similar elements:

ln (3) - \frac{1}{2} ln (3) = \frac{1}{2} ln (3)

= \frac{1}{2} ln (3) - 0

\frac{1}{2} ln (3) - 0 = \frac{1}{2} ln (3)

= \frac{1}{2} ln (3)

ln (6 x) - ln (3 x)

ln (\frac{x ^{2} - 4}{x ^{2} + 4})

ln (\frac{22 - 100}{- 80})

ln (1) + ln (2) - ln (x)

3 ln (p) + 7 ln (1 - p)

What is ln(3/(sqrt(3)))-ln(1) ?
The solution to ln(3/(sqrt(3)))-ln(1) is 1/2 ln(3)