What is the general solution for sinh(x)= 3/2 ?

The general solution for sinh(x)= 3/2 is x=ln((3+sqrt(13))/2)

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sinh(x)= 3/2

sinh (x) = \frac{3}{2}

x = ln (\frac{3 + 13}{2})

Solution steps

sinh (x) = \frac{3}{2}

Rewrite using trig identities

\frac{e ^{x} - e ^{- x}}{2} = \frac{3}{2}

\frac{e ^{x} - e ^{- x}}{2} = \frac{3}{2} : x = ln (\frac{3 + 13}{2})

x = ln (\frac{3 + 13}{2})

a = 2 sin (3 0^{\circ} + x) - cos (x)

3 sin^{2} (x) - 6 sin (x) = - 3

tan (\frac{x}{2}) - csc (x) = 0

x, f = e^{s i n (x^{2})}

5 cos (x) - 10 sin (x) cos (x) = 0

What is the general solution for sinh(x)= 3/2 ?
The general solution for sinh(x)= 3/2 is x=ln((3+sqrt(13))/2)