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

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

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

simplify

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

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

Solution steps

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

Apply log rule:

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

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

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

- 3 ln (x) - 3 ln (y) + 3 ln (z)

\frac{1}{3} ln (8) - ln (x) + 2 ln (x) y

- lo g_{10} (4.2 \cdot 1 0^{- 10})

- ln (x y)

ln (\frac{0.017}{0.01})

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