SOLUTION: Find the solution of the equation: 5Ln(1-x)= 8
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Question 192193
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Find the solution of the equation: 5Ln(1-x)= 8
Found 2 solutions by
nerdybill, edjones
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Answer by
nerdybill(7384)
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5Ln(1-x)= 8
Ln(1-x)^5= 8
(1-x)^5= e^8
1-x = fifthRoot(e^8)
1 = fifthRoot(e^8)+x
1 - fifthRoot(e^8) = x
1 - fifthRoot(2980.958) = x
1 - 4.953 = x
-3.953 = x
Answer by
edjones(8007)
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5Ln(1-x)=8
ln(1-x)=8/5
e^[ln(1-x)]=e^(8/5)
1-x=e^(8/5)
-x=e^(8/5)-1
x=1-e^(8/5)
x=-3.9530...
.
Ed