1.

The value of logs 2log4 3logs 4.... (0g15 14log16 15 is

Answer»

log₃2 can be written as log2/log3similarly others can also be written as log3/log4 , log4/log5

now on multiplication

each numerator and denominator will cancel each other.

(log2/log3)*(log3/log4)*(log4/log5)....

after cancellation , the left terms will be log2/log16 = log₁₆2 = 1/4. answer



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