What is ln(((x+e^x))/((x^2-2))) ?

The solution to ln(((x+e^x))/((x^2-2))) is ln(x+e^x)-ln(x^2-2)

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simplify ln(((x+e^x))/((x^2-2)))

simplify

ln (\frac{( x + e ^{x} )}{( x ^{2} - 2 )})

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

Solution steps

ln (\frac{( x + e ^{x} )}{( x ^{2} - 2 )})

Apply log rule:

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

ln (\frac{( x + e ^{x} )}{( x ^{2} - 2 )}) = ln ((x + e^{x})) - ln ((x^{2} - 2))

= ln (x + e^{x}) - ln (x^{2} - 2)

ln (2 e^{- 4 x^{2}})

lo g_{7} (e) - 8 lo g_{7} (y) - \frac{1}{8} lo g_{7} (89)

ln (32 i)

0.04 \cdot lo g_{2} (5) + 0.16 \cdot lo g_{2} (0.8)

ln (12) - ln (11)

What is ln(((x+e^x))/((x^2-2))) ?
The solution to ln(((x+e^x))/((x^2-2))) is ln(x+e^x)-ln(x^2-2)