can anyone explain the behaviour of this function? i looked at the graph and everything, but if i solve it one way i get a different answer than if i solve it another way.(adsbygoogle = window.adsbygoogle || []).push({});

Ln[(x+1)^2]=2

one way to solve it (What i did)

e^{Ln[(x+1)^2]}=e^2

(x+1)^2=e^2

(x+1)^2-e^2=0

(x+1-e)(x+1+e)=0

x=e-1 and x=-e-1

another way, what my math teacher did

Ln[(x+1)^2]=2

2Ln(x+1)=2

Ln(x+1)=1

X+1=e^1

x=e-1

as you can see somehow one of his roots, the -e-1 is just...gone. i checked the math 1 million times. this is puzzling me for a few months now...where did the root go? i never asked him becasue he's knida cranky...but can you help me plz?

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# Homework Help: An interesting equation.

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