If ln(a) = ln(b). Is that mean a=b?

1 Answer
Oct 29, 2017

Yes, a=b [a and b >0]

Explanation:

lna = lnb

Clearly {a and b} >0 for this equation to be valid.

Raise e to the power of each side of the equation.

e^(lna) = e^(lnb)

Remember that e^lnx = x

Thus: e^(lna) = a

and

e^(lnb) =b

Hence, a=b