What is the general solution for 5cosh(x)-3sinh(x)=5 ?

The general solution for 5cosh(x)-3sinh(x)=5 is x=2ln(2),x=0

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5cosh(x)-3sinh(x)=5

5 cosh (x) - 3 sinh (x) = 5

x = 2 ln (2), x = 0

Solution steps

5 cosh (x) - 3 sinh (x) = 5

Rewrite using trig identities

5 \cdot \frac{e ^{x} + e ^{- x}}{2} - 3 \cdot \frac{e ^{x} - e ^{- x}}{2} = 5

5 \cdot \frac{e ^{x} + e ^{- x}}{2} - 3 \cdot \frac{e ^{x} - e ^{- x}}{2} = 5 : x = 2 ln (2), x = 0

x = 2 ln (2), x = 0

sin^{2} (x) cos (x) - cos (x) = 0

sin (2 θ) = \frac{3}{2}, 0 \leq θ \leq 2 π

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

\frac{sin ( x )}{sin ( 2 x )} = \frac{1}{2}

- 4 cos (2 θ) - 19 = - 26 cos (θ)

What is the general solution for 5cosh(x)-3sinh(x)=5 ?
The general solution for 5cosh(x)-3sinh(x)=5 is x=2ln(2),x=0