What is ln((e^2+sqrt(e^4)-1)/(2+sqrt(5))) ?

The solution to ln((e^2+sqrt(e^4)-1)/(2+sqrt(5))) is ln(2e^2-1)-ln(2+sqrt(5))

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simplify ln((e^2+sqrt(e^4)-1)/(2+sqrt(5)))

simplify

ln (\frac{e ^{2} + e ^{4} - 1}{2 + 5})

ln (2 e^{2} - 1) - ln (2 + 5)

Decimal Notation

1.17944 \dots

Solution steps

ln (\frac{e ^{2} + e ^{4} - 1}{2 + 5})

Apply log rule:

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

ln (\frac{e ^{2} + e ^{4} - 1}{2 + 5}) = ln (e^{2} + e^{4} - 1) - ln (2 + 5)

= ln (e^{2} + e^{4} - 1) - ln (2 + 5)

ln (e^{2} + e^{4} - 1) = ln (2 e^{2} - 1)

= ln (2 e^{2} - 1) - ln (2 + 5)

ln (0.6339 π)

- ln \frac{x}{2} + 1 + ln \frac{x}{2} - 1 + 4 C

- lo g_{10} (1.1 \cdot 1 0^{- 5})

sin (9 x) (\frac{1}{81} ln ∣ tan (9 x) + sec (9 x) ∣)

lo g_{10} (5) 5

What is ln((e^2+sqrt(e^4)-1)/(2+sqrt(5))) ?
The solution to ln((e^2+sqrt(e^4)-1)/(2+sqrt(5))) is ln(2e^2-1)-ln(2+sqrt(5))