# Logarithms in Exponents

• Apr 28th 2008, 07:07 AM
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?
• Apr 28th 2008, 07:12 AM
Isomorphism
Quote:

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

well i hope you know that you can simplify the exponential:
$e^{log_2 16}
= e^{log_2 2^4}
= e^{4log_2 2}
= e^4$
• Apr 28th 2008, 07:17 AM