document.write( "Question 33616: I don't understand what ln(natural log) means. This is what I have so far: 15,000 = 10,000e ^.10t
\n" ); document.write( " 15,000/10,000 = 10,000e^.10t/10,000
\n" ); document.write( " 15000/10000 = e^.10t
\n" ); document.write( " 1.5 = e ^.10t
\n" ); document.write( " ln(1.5) = ln(e ^.10t)
\n" ); document.write( "Thanks,
\n" ); document.write( "Joey Widener \n" ); document.write( "

Algebra.Com's Answer #20006 by venugopalramana(3286) $\"\"$ $\"About$

You can put this solution on YOUR website!
IF BASE B TO THE POWER OF P IS X....... WRITTEN AS B^P=X....THEN WE SAY....
\n" ); document.write( "LOGARITHM (LOG IN SHORT) OF X TO BASE B IS P....WRITTEN AS .....LOG(X) TO BASE B =P
\n" ); document.write( "WE CAN HAVE ANY NUMBER AS BASE EXCEPT OFCOURSE 0 OR 1 OR NEGATIVE NUMBER SINCE FOR EXAMPLE.... 1 TO THE POWER OF ANY THING YOU GET 1 ONLY AND NOT X AS DESIRED.
\n" ); document.write( "FOR THE PURPOSE OF STANDARDISATION 2 STANDARD BASES ARE ADOPTED
\n" ); document.write( "1...BASE 10.....LOGS TO BASE 10 ARE WHAT WE NORMALLY USE.STANDARD TABLES ARE MADE OR USING CALCULATORS/COMPUTERS YOU CAN FIND THEIR VALUES.
\n" ); document.write( "EX.....10^2=100....SO LOG (100) TO BASE 10 =2
\n" ); document.write( "2....BASE E..THIS IS A SPECIAL NUMBER EQUAL TO ABOUT 2.8 APPROXIMATELY,WHICH IS FOUND IN MATHS QUITE OFTEN LIKE PI=3.14 YOU KNOW IN CIRCLES ETC..
\n" ); document.write( "LOGS TO BASE E ARE CALLED NATURAL OR NAEPERIAN LOGS.STANDARD TABLES ARE MADE OR USING CALCULATORS/COMPUTERS YOU CAN FIND THEIR VALUES.
\n" ); document.write( "EX...E^0=1...SO LN(1) TO BASE E =0...HERE LN IS USED INSTEAD OF LOG TO DISTINGUISH BETWEEN THE TWO...THOUGH NOT ALL USE THIS DISTINCTION.IT HAS TO BE UNDERSTOOD FROM CONTEXT.
\n" ); document.write( "FRANKLY YOUR OTHER PART OF QUESTION IS NOT CLEAR...WHAT DO YOU WANT?
\n" ); document.write( "THE SAME FORMULAE APPLY TO ANY BASE LOGS.SO IF YOU ARE FAMILIAR WITH BASE 10,YOU CAN USE THOSE FORMULAE FOR BASE E TOO. \n" ); document.write( "

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