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

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

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

simplify

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

ln ((1 + 2) (3 + 2))

Decimal Notation

2.19833 \dots

Solution steps

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

Apply log rule:

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

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

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

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

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

ln (2 x^{2})

ln (2 (2)) + 1

- ln \frac{( \frac{( - 1 )}{( - 70 )} )}{40}

3 ln (b) - 4 ln (x)

ln (x) - \frac{1}{2} ln (y)

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