# Logarithms in Exponents

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• April 28th 2008, 07:07 AM
ParadoxKing
Logarithms in Exponents
Okay I'm having a small issue with logarithms. I have this problem assigned by my teacher: Attachment 6089. How precisely do I solve this problem? And moreover what is the general rule to solving other problems like this?
• April 28th 2008, 07:12 AM
Isomorphism
Quote:

Originally Posted by ParadoxKing
Okay I'm having a small issue with logarithms. I have this problem assigned by my teacher: Attachment 6089. How precisely do I solve this problem? And moreover what is the general rule to solving other problems like this?

Hint: $\log_2 2^4 = 4\log_2 2$
• April 28th 2008, 07:15 AM
Danshader
Hello there,

well i hope you know that you can simplify the exponential:
$e^{log_2 16}
= e^{log_2 2^4}
= e^{4log_2 2}
= e^4$
• April 28th 2008, 07:17 AM
ParadoxKing
Thanks, that helped a lot.
• April 28th 2008, 02:18 PM
finch41
actually you cannot solve the problem since there is no variable for which to solve

it seems to simplify to e^4 + 2

agreement?