SOLUTION: a photographer was set to reduce the dimensiopn of a drawing to 70% of their orginal size. If the reduction was repeated until the final dimension were about 6% of the original dim

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Question 1207532: a photographer was set to reduce the dimensiopn of a drawing to 70% of their orginal size. If the reduction was repeated until the final dimension were about 6% of the original dimensions, then the number of reductions was?
Found 2 solutions by josgarithmetic, ikleyn:
Answer by josgarithmetic(39618) About Me  (Show Source):
Answer by ikleyn(52788) About Me  (Show Source):
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    0.06 = 0.7%5En


Take logarithm base 10 of both sides

    log(0.06) = n*log(0.7)

    n = log%28%280.06%29%29%2Flog%28%280.7%29%29 = 7.88788...


Round to the closest greater integer and get the ANSWER : the number of reductions was 8.

Solved.