Question

If t = ln(5+/- 2 sqrt(6)) and u = ln(7+/- 4sqrt(3)), what are the possible values of coth(t) - tanh(u) ?

Answer 1

@AccessDenied, @mathslover

Answer 2

@Algebraic! do you have any insight to a solution?

Answer 3

plug in the two values to coth and tanh?
post results

Answer 4

here was the original question: If cosht=5 and coshu=7, what are the possible values of coth(t)−tanh(u) ?

Do you think I am doing it right so far?

Answer 5

I solved cosht=5 and coshu=7 using quadratic formula

Answer 6

looks fine

Answer 7

okay, when I sub in the t = ln(5+/- 2 sqrt(6)) and u = ln(7+/- 4sqrt(3)) values, I am not sure how to simplify it at all

Answer 8

Like obviously I could just throw that into the calculator, but I have to get the exact answer

Answer 9

then use the definitions

Answer 10

right, so if i use the definitions, I dont know how to simplify it at all.

Answer 11

\[e ^{\ln(x)} =?\]

Answer 12

ahhhhh

Answer 13

duh.. thanks

Answer 14

:)

Answer 15

@Algebraic!, e^(-ln(x)) = ????

Answer 16

1/x

Answer 17

hmm, okay. Thank you again!