Liquidity preference and Logarithm: Difference between pages

Revision as of 16:27, 16 March 2015

1.

The mathematical function which is the inverse of "raising to the power of".

Usually abbreviated to "log".

Example

Working with logarithms to the base 10:

log₁₀(100) = 2

And 10² = 100

More generally with logarithms to the base n:

log_n(x) = the power which, when 'n' is raised to it = x

Example

10^{(log₁₀(x))} = x

And, more generally, n^(log_n(x)) = x

2.

The logarithm to the base 10.

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-A desire to hold money in liquid form, for example cash or bonds.
+.
-This may be due to the transactions motive, the precautions motive or the speculative motive.
+The mathematical function which is the inverse of "raising to the power of".
+Usually abbreviated to "log".
+'''Example'''
+Working with logarithms to the base 10:
+log<sub>10</sub>(100) = 2
+And 10<sup>2</sup> = 100
+More generally with logarithms to the base n:
+log<sub>n</sub>(x) = the power which, when 'n' is raised to it = x
+'''Example'''
+<sup>(log<sub>10</sub>(x))</sup> = x
+And, more generally, n<sup>(log<sub>n</sub>(x))</sup> = x
+.
+The logarithm to the base 10.
 == See also ==
-* [[Precautions motive]]
+* [[Natural logarithm]]
-* [[Speculative motive]]
-* [[Transactions motive]]
-[[Category:Liquidity_management]]