What is the general solution for cosh(x)=10 ?

The general solution for cosh(x)=10 is x=ln(10+3sqrt(11)),x=ln(10-3sqrt(11))

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cosh(x)=10

cosh (x) = 10

x = ln (10 + 311), x = ln (10 - 311)

Solution steps

cosh (x) = 10

Rewrite using trig identities

\frac{e ^{x} + e ^{- x}}{2} = 10

\frac{e ^{x} + e ^{- x}}{2} = 10 : x = ln (10 + 311), x = ln (10 - 311)

x = ln (10 + 311), x = ln (10 - 311)

x, 2 sin^{2} (x) - sin (x) = 1

arctan (x) = 180

cos (θ) = \frac{2 2}{3}

2 cos (x) - 2 sin (x) = - 3

cos^{4} (x) = 1

What is the general solution for cosh(x)=10 ?
The general solution for cosh(x)=10 is x=ln(10+3sqrt(11)),x=ln(10-3sqrt(11))