What is the general solution for solvefor u,x=4sinh(u) ?

The general solution for solvefor u,x=4sinh(u) is u=ln((x+sqrt(x^2+16))/4),u=ln((x-sqrt(x^2+16))/4)

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solvefor u,x=4sinh(u)

solve for

u, x = 4 sinh (u)

u = ln (\frac{x + x ^{2} + 16}{4}), u = ln (\frac{x - x ^{2} + 16}{4})

Solution steps

x = 4 sinh (u)

Switch sides

4 sinh (u) = x

Rewrite using trig identities

4 \cdot \frac{e ^{u} - e ^{- u}}{2} = x

4 \cdot \frac{e ^{u} - e ^{- u}}{2} = x : u = ln (\frac{x + x ^{2} + 16}{4}), u = ln (\frac{x - x ^{2} + 16}{4})

u = ln (\frac{x + x ^{2} + 16}{4}), u = ln (\frac{x - x ^{2} + 16}{4})

tan (x) = \frac{25}{32}

sin (x + 2 0^{\circ}) + sin (4 0^{\circ} - x) = 1

x, f = 2 cos (3 x^{2} - 1) e n t o n ces f

tan (a) = \frac{5}{8}

x, z = tan (\frac{x}{2})

What is the general solution for solvefor u,x=4sinh(u) ?
The general solution for solvefor u,x=4sinh(u) is u=ln((x+sqrt(x^2+16))/4),u=ln((x-sqrt(x^2+16))/4)