SOLUTION: log(base2)log(base3)log(base4)2^n=2 I don't understand how to solve this.

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Question 174799: log(base2)log(base3)log(base4)2^n=2
I don't understand how to solve this.

Found 2 solutions by stanbon, MathTherapy:
Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
log(base2)[log(base3)[log(base4)[2^n] = 2
I assume you are taking log(base2) of [log(base3)[log(base4)[2^n]]
That log is 1
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[log(base3)[log(base4)[2^n] = 1
I assume you are taking log(base3) of [log(base4)[2^n]]
That log is zero
log(base4)[2^n] = 0
There is no power of 4 that gives you zero;
So either there is no solution of I am not
interpreting your posting properly.
==============================
Cheers,
Stan H.

Answer by MathTherapy(10699) About Me  (Show Source):
You can put this solution on YOUR website!
log(base2)log(base3)log(base4)2^n=2

I don't understand how to solve this.

log(base2)log(base3)log(base4)2^n=2


        log+%283%2C+%28log+%284%2C+%282%5En%29%29%29%29+=+highlight%282%29%5Ehighlight%282%29      
       log+%28highlight%283%29%2C+%28log+%284%2C+%282%5En%29%29%29%29+=+highlight%284%29
               log+%284%2C+%282%5En%29%29+=+highlight%283%29%5Ehighlight%284%29
              log+%28highlight%284%29%2C+%282%5En%29%29+=+highlight%2881%29
                     2%5En+=+4%5E81
                     2%5En+=+%282%5E2%29%5E81
                     2%5En+=+2%5E162
                     highlight_green%28n%29+=+highlight%28highlight_green%28162%29%29