What is the general solution for cosh(x)=2 ?

The general solution for cosh(x)=2 is x=ln(2+sqrt(3)),x=ln(2-sqrt(3))

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cosh(x)=2

cosh (x) = 2

x = ln (2 + 3), x = ln (2 - 3)

Solution steps

cosh (x) = 2

Rewrite using trig identities

\frac{e ^{x} + e ^{- x}}{2} = 2

\frac{e ^{x} + e ^{- x}}{2} = 2 : x = ln (2 + 3), x = ln (2 - 3)

x = ln (2 + 3), x = ln (2 - 3)

sin (2 x) - sin (x) = 0, 0 \leq x \leq 2 π

- 2 cos (3 θ) = 1

sec^{2} (x) + 0.5 tan (x) - 1 = 0

cos (2 x) = sin (x), 0 \leq x \leq 2 π

tan (x - \frac{π}{2}) = 1

What is the general solution for cosh(x)=2 ?
The general solution for cosh(x)=2 is x=ln(2+sqrt(3)),x=ln(2-sqrt(3))