please answer this question:

Asked by prernamehta | 28th Apr, 2010, 08:58: PM

Expert Answer:

Dear Student,

To solve your problem, let us first revise some properties of log.

 

1) logb1 = 0

2) logbb = 1 

3) logb(ba) = a

 

Now, Coming back to your problem,

log4 (log3 (log10x)) = 0

 

From property (1), we get

=> log3 log10x = 1

 

From property (2), we get

=> log10x = 3

 

From property (3), we get

=> x = 103 = 1000.

 

Hence the value of x = 1000.

 

Regards Topperlearning.

Answered by  | 30th Apr, 2010, 12:33: AM

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