# Find the least integer n such that 7powern is greater than 10 power5 given that log343 base10+=2.5353

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taking common log on both side

nlog7>5log10

nlog7>5

but log343=3log7=2.5353 (given)

log7=2.5353/3

therfore (2.5353n)/3>5

n>15/2.5353=5.916

therefor n should be greater than 6