What is ln((sqrt(3))/2)+ln(1) ?

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

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simplify ln((sqrt(3))/2)+ln(1)

simplify

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

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

Decimal Notation

- 0.14384 \dots

Solution steps

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

Apply log rule:

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

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

= ln (3) - ln (2) + ln (1)

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

ln (1) = 0

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

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

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

- ln (x c)

ln (\frac{23.793}{29.759})

- 329 \cdot ln (\frac{1}{4})

lo g_{10} ((\frac{x - 1}{x + 1})^{2})

- lo g_{10} (5012 \cdot 1 0^{- 9})

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