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

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

Popular >

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

simplify

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

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

Solution steps

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

Apply log rule:

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

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

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

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

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

ln (\frac{5.6}{0.25} \cdot 1 0^{- 7})

\frac{1}{2 \cdot ( 0.15 \cdot 1 0 ^{- 9} )} \cdot ln (\frac{1}{0.02})

lo g_{10} (\frac{2 ( 7 + x ) ^{4}}{x ^{5}})

lo g_{g} (\frac{1}{g ^{3}})

ln (x^{2}) + ln^{2} (x)

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