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

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Answer 1 · 2017-10-29T11:37:34

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

#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#