# LOG

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The LOG math function returns the natural logarithm of a specified numerical value.

Syntax: logarithm = LOG(value)

• Value parameter MUST be greater than 0!
• The natural logarithm is the logarithm to the base e = 2.718282 (approximately).
• The natural logarithm of a is defined as the integral from 1 to a of dx/x.
• Returns are default SINGLE precision unless the value parameter uses DOUBLE precision.

Example 1: FUNCTION to find the base ten logarithm of a numerical value.

FUNCTION Log10#(value AS DOUBLE) STATIC Log10# = LOG(value) / LOG(10.#) END FUNCTION

Explanation: The natural logarithm of the value is divided by the base 10 logarithm. The LOG of ten is designated as a DOUBLE precision return by using # after the Log10 value.

Example 2: A binary FUNCTION to convert INTEGER values using LOG to find the number of digits the return will be.

FUNCTION Bin\$ (n&) FOR p% = 0 TO LOG(n& + .1) \ LOG(2) ' added +.1 to get 0 to work IF n& AND 2 ^ p% THEN s\$ = "1" + s\$ ELSE s\$ = "0" + s\$ NEXT p% IF s\$ = "" THEN Bin\$ = "0" ELSE Bin\$ = s\$ 'zero return? END FUNCTION

Explanation: The LOG of the INTEGER value is integer divided by the LOG of 2 to determine the highest valid bit that will be returned. The FOR loop compares the value with the exponents of two and determines if a bit is ON or OFF as "1" or "0".

See also:

EXP, &B (binary number)

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