SOLUTION: Solve for x: {{{ log(8,(log(4,(log(2,x) ) ))) }}}={{{0}}}

Algebra.Com
Question 113802: Solve for x:
=

Found 2 solutions by stanbon, Edwin McCravy:
Answer by stanbon(75887)   (Show Source): You can put this solution on YOUR website!
log(base8)(log(base4)(log(base2)x))=0
log(base4)(log(base2)x)) = 8*0=1
log(base2)x = 4^1 = 4
x = 2^4 = 16
===============
Cheers,
Stan H.

Answer by Edwin McCravy(20060)   (Show Source): You can put this solution on YOUR website!

=
    
Using the rule  = ,
raise 8 to the left side power and set
that equal to 8 raised to the right
side power:

= 

 = 

Simplify using the rule above

 = 

Remembering that same rule again,
raise 4 to the left side power and set
that equal to 4 raised to the right
side power: 

 = 
  
Using that rule, raise 4 to the left side 
power and set that equal to 4 raised to 
the right side power: 

Simplify using the same rule:

 = 

Remembering that same rule one final time,
raise 2 to the left side power and set
that equal to 2 raised to the right
side power:

 = 

Simplify using the same rule:

 = 

Edwin


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