![\"\"](\"/images/stars/stars-13.gif\")
You can put this solution on YOUR website!
log12 (1/144)
\n" ); document.write( "I know that because it is 1/144 the answer will be negative but I'm not really sure about anything else. If you could explain to me how logs work that'd be great! Thank you.
\n" ); document.write( "..\r
\n" ); document.write( "\n" ); document.write( "One definition of a logarithm I find most useful is this:
\n" ); document.write( "The base raised to the logarithm of a number=number. This is called the exponential form of a logarithm.
\n" ); document.write( "In your case, the base=12, the number is 1/144 and you are trying to find the logarithm of 1/144.
\n" ); document.write( "In other words, what do you raise 12, to equal 1/144. \r
\n" ); document.write( "\n" ); document.write( "12^x=1/144
\n" ); document.write( "1/144=1/12^2=12^-2
\n" ); document.write( "12^x=12^-2
\n" ); document.write( "since the bases are equal, the exponents must be equal to each other, that is,
\n" ); document.write( "x=-2, the logarithm of 1/144, base 12.
\n" ); document.write( "To check: raise 12 to -2=12^-2=1/12^2=1/144 \n" ); document.write( "