Posted by Subhotosh Khan on October 17, 2002 at 12:28:08:
In Reply to: I think i missed a bracket and .... posted by June on October 15, 2002 at 20:50:40:
: Solve the equation y = ln(x-(sqrt (x^2))-1) for x.
: The question says to solve in terms of x.
: : : Solve the equation y = ln(x-sqrt (x^2)-1) for x
: : : I am not sure how to start or do this one.
**************************************
That parenthesis was not a problem - it was not "really" needed.
The function as stated DOES NOT EXIST in real number plane.
y = ln(x-sqrt (x^2)-1)
e^y = (x-sqrt (x^2)-1)
e^y = (x-x-1)
e^y = (-1) ..... (1)
y is not a function of "x" now - so you cannot write 'x as a function of y'. Moreover, eqn.(1) has solutions in complex plane.
Unless you copied the problem wrong......