Find x if log2log1/2log3x > 0.............. plzz explain the steps as well..

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Please find below the solution to the asked query:

log2log12log3x>0log12log3x>20As log with base 2 is an increasing function, hence direction of inequality will remain same.log12log3x>1log3x<121As log with base 12 is a decreasing function, hence direction of inequality will  reverse.log3x<12x<312As log with base 3 is an increasing function, hence direction of inequality will remain same.x<3 Answer

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