Simplify the expression .
My work (I feel like it's not legal!):
Am I allowed to just take the natural log of an expression when simplifying since there's no other side to take the natural log of? Same question for bumping the expression up into the exponent of e?
This is alright if you remember that you took the log and reverse it at the end.
But this is NOT right. The 2 is multiplying only ln(x), not log 3. What you need to do is take that 2 inside the ln:
Okay, now you have fixed the "2" problem!
Good! Now you have reversed the ln you did at the beginning and have the correct answer.
What you did is correct but it would have been simpler to use the logarithm properties in the exponent.Am I allowed to just take the natural log of an expression when simplifying since there's no other side to take the natural log of? Same question for bumping the expression up into the exponent of e?
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