How is tanh^(1/5) (33.973) solved?

Question

tanh^1.5 (33.973)

Answer 1

Student,

 

You stated 2 different problems.  In the title you have

 

tanh^1/5(33.973) = ?

 

In the description you have

 

tanh^1.5(33.973) = ?

 

In either case, you have an expression of the form tanh^k(33.973).  Recall what the hyperbolic tangent is:

 

tanh(x) = (e^x - e^-x)/(e^x + e^-x)

 

Evaluate for x = 33.973, then elevate to the power k, either 1/5 or 1.5