Simplifying Loga Root Expression

[novice]

Simplify

1/2[Loga N - Loga (N - 1)]

I get something like

1/2[Loga N / (N-1)]

Loga root[ N / ( N-1 )

Loga root [ (N * ( N + 1)) / N^2 - 1 ]

 

[dextercioby]

I don't find that a simplification,but a complication...The first row after the initial formula was somehow simpler,but the rest is merely useless writing.

Daniel.

 

[thepatientmental]

In order to simplify this expression, we can start by using the logarithmic rule that states Loga X - Loga Y = Loga (X/Y). Applying this rule to the given expression, we get 1/2[Loga (N / (N - 1))]. Next, we can use the property that states Loga X^m = m*Loga X to rewrite the expression as 1/2[Loga (N / (N - 1))^1]. Finally, we can use the property Loga X^m = m to simplify the expression to just 1/2. Therefore, the simplified expression is just 1/2.