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

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

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

simplify

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

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

Decimal Notation

0.14384 \dots

Solution steps

ln (1) - 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 (1) - (ln (3) - ln (2))

Apply log rule:

lo g_{a} (1) = 0

= 0 - (ln (3) - ln (2))

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

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

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

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

lo g_{10} (5 x) - lo g_{10} (4 y)

lo g_{b} (\frac{x ^{2}}{y ^{3} z ^{4}})

3 lo g_{7} (x) + \frac{1}{3} lo g_{7} (y)

- lo g_{10} (3.4 \cdot 1 0^{- 2})

- lo g_{10} (4.8 \cdot 1 0^{- 10} M)

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