document.write( "Question 374584: Find the inverse of the logarithmic function f(x)=-ln(x-2).\r
\n" ); document.write( "\n" ); document.write( "Steps I've done so far:
\n" ); document.write( "1. f(x)=-ln(x-2)
\n" ); document.write( "2. y=-ln(x-2)
\n" ); document.write( "3. x=-ln(y-2)\r
\n" ); document.write( "\n" ); document.write( "What is the next step? I am not sure what to do with -ln.\r
\n" ); document.write( "\n" ); document.write( "My instructor said the answer is: y=e^-x+2 but I don't know how he gets the -x. I know ln also stands for e.\r
\n" ); document.write( "\n" ); document.write( "y=-e^x+2 makes more sense to me. \n" ); document.write( "

Algebra.Com's Answer #266436 by robertb(5830) $\"\"$ $\"About$

You can put this solution on YOUR website!
After x = -ln(y-2):\r
\n" ); document.write( "\n" ); document.write( "-x = ln(y - 2). Then raise e to both these powers,
\n" ); document.write( " $\"e%5E%28-x%29+=+e%5E%28ln%28y-2%29%29\"$ ,
\n" ); document.write( " $\"e%5E%28-x%29+=+y-2\"$ ,
\n" ); document.write( " $\"e%5E%28-x%29+%2B+2+=+y\"$ . This is the inverse function. \n" ); document.write( "

\n" );