log既prove

2011-03-19 5:55 am
Prove that 10^(log x) = x .

回答 (2)

2011-03-19 5:58 am
✔ 最佳答案
If y = log x, then x = 10^y by definition.

So L.H.S.

= 10^(log x)

= 10^y

= x

= R.H.S.
2011-03-20 5:04 am
let y=10^(log x)

log y =log (10^(log x))
log y =log x log 10 by difination log 10 =1

log y = log x
since log function is injective function
therefore y=x
i.e. x=10^(log x)


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