F.4 logarithm

2009-11-22 11:55 am
Express x in terms of y.
log(2x-1) - log2(x) = y
the answer should be x=1/(2(1-10^y))
please show your steps

回答 (1)

2009-11-22 4:10 pm
✔ 最佳答案
log(2x - 1) - log2x = y
log[(2x - 1)/2x] = y
(2x - 1)/2x = 10^y
2x - 1 = (2x)(10^y)
2x( 1 - 10^y) = 1
x = 1/[2(10^y - 1)] or - 1/[2(1 - 10^y)].


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