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Solve the equation \log_3 (\log_2 x) = 2.

Guest Dec 14, 2014

Best Answer 

 #1
avatar+17743 
+5

Write into exponential notation:  base = 3,   exponent = 2,  answer = log2x

log3(log2x) = 2   --->   32  =  log2x   --->   log2x  =  9

Now, write this into exponential notation:  base = 2,   exponent = 9,  answer = x

log2x  =  27   --->  29  =  x   --->  x = 512

geno3141  Dec 14, 2014
 #1
avatar+17743 
+5
Best Answer

Write into exponential notation:  base = 3,   exponent = 2,  answer = log2x

log3(log2x) = 2   --->   32  =  log2x   --->   log2x  =  9

Now, write this into exponential notation:  base = 2,   exponent = 9,  answer = x

log2x  =  27   --->  29  =  x   --->  x = 512

geno3141  Dec 14, 2014

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