What is the easiest way to calculate for x without having to do expansion for the...

Question

Question

What is the easiest way to calculate for x without having to do expansion for the equation below?

(1-1/x)^10 = 0.8

Answer 1

Answer #1

Here the given equation is (1 - 1/x)100.8 .

solving this equation by taking logarithm is the easiest way to calculate for x without having expansion...

and then taking logarithm on both side... we get

1010g(1-1/x) = log(0.8)

10log(1-1/z) 2log2-logo

since we know loq2-0.3010 09 , and log5 0.698

then 10log(1 - 1/0.097

log(1-1/2)--0.097/10

log(1-1/2)--0.0097

-0.0097

1/r-0.00965

103.63 (approx)

Answer 2

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