What is simplify-ln((sqrt(3))/2) ?

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

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simplify-ln((sqrt(3))/2)

simplify

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

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

Decimal Notation

0.14384 \dots

Solution steps

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

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

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

Distribute parentheses

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

Apply minus-plus rules

- (- a) = a, - (a) = - a

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

ln (3.9 \cdot 1 0^{- 13})

ln (\frac{T ^{2}}{T ^{1}})

\frac{1}{4} ln (5)

3 ln (5) - ln (2)

ln (\frac{4 y ^{5}}{x ^{2}})

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