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  4. If log5 log5 log 2 , x=0 , then the value of x is

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Q. If $\log_{5} \, \log_5\, \log _{2}\,,\ x=0 $, then the value of $x$ is

WBJEEWBJEE 2008

Solution:

Given, $\log_{5} \, \log_5\,\log _{2}\,,\ x=0 $,

$\Rightarrow \log_{5}\, \log _{2} \,x=50 $

$\Rightarrow \log_{5}\, \log_{2}\, x = 1$

$\Rightarrow \log_{2} \,x = 5 $

$\Rightarrow x= 2^{5} = 32$