What is ln((4+2sqrt(2))/(4-2sqrt(2))) ?

The solution to ln((4+2sqrt(2))/(4-2sqrt(2))) is ln(4+2sqrt(2))-ln(4-2sqrt(2))

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simplify ln((4+2sqrt(2))/(4-2sqrt(2)))

simplify

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

ln (4 + 22) - ln (4 - 22)

Decimal Notation

1.76274 \dots

Solution steps

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

Apply log rule:

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

ln (\frac{4 + 2 2}{4 - 2 2}) = ln (4 + 22) - ln (4 - 22)

= ln (4 + 22) - ln (4 - 22)

- lo g_{10} (4.16 \cdot 1 0^{- 13})

ln (\frac{( x - 7 ) ^{6}}{3})

ln (\frac{50.81143}{50.8})

ln (2 y) - ln (y) - ln (1 - 2 y) + ln (1 - y)

0.199 ln (\frac{0.0299}{0.075})

What is ln((4+2sqrt(2))/(4-2sqrt(2))) ?
The solution to ln((4+2sqrt(2))/(4-2sqrt(2))) is ln(4+2sqrt(2))-ln(4-2sqrt(2))