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

Question

2739 views around the world

You can reuse this answer
Creative Commons License

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, $a=b$