Show That $- \log ( \sqrt { x + 1 } - \sqrt { x } ) = \log ( \sqrt { x + 1 } + \sqrt { x } )$

question 9

Essay

Show that $- \log ( \sqrt { x + 1 } - \sqrt { x } ) = \log ( \sqrt { x + 1 } + \sqrt { x } )$ . 

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Definitions:

Standard Error

The standard deviation of the sampling distribution of a statistic, typically the mean.

Mean

The average value of a set of numbers, calculated by dividing the sum of all values by the number of values.

Confidence Interval

A range of values derived from sample data that is likely to contain the value of an unknown population parameter.

Standard Error

A measure of the statistical accuracy of an estimate, representing the variability of sampling distributions.