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Without using calculator or tables, simplify log7root7-log5root5 divided by log 1.4

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(log(7√7)-log(5√5))/log(1.4)
3/2 (log7 - log5)/log 1.4
3/2 log 7/5 / log 1.4
But, 7/5 = 1.4, so we wind up with just

3/2

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