Asked by Roger
solve the following exponential equation
e^x-4=-e^-x
please show work
e^x-4=-e^-x
please show work
Answers
Answered by
Steve
if you let u = e^x,
u-4 = -1/u
u^2 - 4u = -1
u^2 - 4u + 1 = 0
now just use the quadratic formula and if you get values for u, wind up with
x = ln(u) if defined
u-4 = -1/u
u^2 - 4u = -1
u^2 - 4u + 1 = 0
now just use the quadratic formula and if you get values for u, wind up with
x = ln(u) if defined
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