What is the general solution for 4cosh(x)-sinh(x)=8 ?

The general solution for 4cosh(x)-sinh(x)=8 is x=ln(5),x=-ln(3)

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4cosh(x)-sinh(x)=8

4 cosh (x) - sinh (x) = 8

x = ln (5), x = - ln (3)

Solution steps

4 cosh (x) - sinh (x) = 8

Rewrite using trig identities

4 \cdot \frac{e ^{x} + e ^{- x}}{2} - \frac{e ^{x} - e ^{- x}}{2} = 8

4 \cdot \frac{e ^{x} + e ^{- x}}{2} - \frac{e ^{x} - e ^{- x}}{2} = 8 : x = ln (5), x = - ln (3)

x = ln (5), x = - ln (3)

- 53 cot (θ) + 1 = 16

- sin (x) = sin (x)

2 sin^{2} (x) + 4 sin (x) + 2 = 0

2 sin (θ) = csc (θ)

cos (θ) = - 0.7

What is the general solution for 4cosh(x)-sinh(x)=8 ?
The general solution for 4cosh(x)-sinh(x)=8 is x=ln(5),x=-ln(3)