[All Steps] An electrician cuts a piece of wire of length 81 meters from a long roll of wire. He then cuts off more pieces, each piece being two-thirds
Question: An electrician cuts a piece of wire of length 81 meters from a long roll of wire. He then cuts off more pieces, each piece being two-thirds as long as the preceding piece.
The length of the eleventh piece of wire is u meters. Write down an expression for u. hence show that:
\[\ln \,u=a\,\ln 2-b\,\ln 3\]Where a and b are pos itive integers to be determined!!
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