ima solve al none negative solution för this equation ehmm idk how to write it but its ^(4) *logx*^(8)*log x = ^(16)*log x idk how to solve this:(

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- Nov 15th 2012, 08:21 AMPetruslog
ima solve al none negative solution för this equation ehmm idk how to write it but its ^(4) *logx*^(8)*log x = ^(16)*log x idk how to solve this:(

- Nov 15th 2012, 12:21 PMHallsofIvyRe: log
I'm not sure what the "^4" means but I will guess that it is the base of the logarithm. I am used to that being written as a

**sub**script,**after**. If that is correct then the equation is .

Now, " " is the same as " ". Do you notice that all of those bases are powers of 2? , and . So is the same as and so , thus . , so , thus and . Similarly, so the equation can be written

If we let that is the same as .

Can you solve that? - Nov 15th 2012, 12:25 PMMarkFLRe: log
Do you mean:

?

If so, try the identity:

- Nov 15th 2012, 12:27 PMPetrusRe: log
- Nov 15th 2012, 12:45 PMskeeterRe: log