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Question
Answer the following:
Show that, `log |sqrt(x^2 + 1) + x | + log | sqrt(x^2 + 1) - x|` = 0
Solution
L.H.S. = `log |sqrt(x^2 + 1) + x | + log | sqrt(x^2 + 1) - x|`
= `log |(sqrt(x^2 + 1) + x) (sqrt(x^2 + 1) - x)|`
= log |x2 + 1 – x2|
= log 1
= 0
= R.H.S.
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