Question

Prove that :log root 2 ( log root 2 (log 9 root 3 ))

Answer 1

Answer:

probe karne ka RHS

kahaan hai..

Answer 2

Answer:Let me see if I guessed correctly what you wrote:

4logx/2x−−√+2log4xx2=3log2xx3⟺2logx/2x+4log4xx=9log2xx⟹

2logxlogx2+4logxlog4x=9logxlog2x

where log above can be at any base you want (though in higher mathematics it is usually taken to be loge)

Now you could assume x≠1 (otherwise the exercise is very boring) and thus divide through the whole last equation by logx , and then use other properties of logarithms, say like logAB=logA+logB , or logAB=logA−logB , etc.

Also make sure you understand and can justify the first steps shown above.