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)   (Show Source): You can put this solution on YOUR website!

Answer by ikleyn(52790)   (Show Source): You can put this solution on YOUR website!
.

    0.06 = 


Take logarithm base 10 of both sides

    log(0.06) = n*log(0.7)

    n =  = 7.88788...


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

Solved.



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