find the least integer n such that 7powern is greater than 10 power5 given that log343 base10+=2.5353
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7^n>10^5
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
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
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