document.write( "Question 703928: 3^(12-x)=729 changes to Log3 729 = 12-x But I don't know where to go from here. \n" ); document.write( "

Algebra.Com's Answer #433802 by josmiceli(19441) $\"\"$ $\"About$

You can put this solution on YOUR website!
$\"+3%5E%28+12+-+x+%29+=+729+\"$
\n" ); document.write( "Take the log to the base $\"+3+\"$ of both sides
\n" ); document.write( " $\"+log%28+3%2C+3%5E%28+12-x+%29+%29+=+log%28+3%2C+729+%29+\"$
\n" ); document.write( " $\"+12+-+x+=+log%28+3%2C729+%29+\"$
\n" ); document.write( "----------------------
\n" ); document.write( "Make an equation out of the right side
\n" ); document.write( " $\"+y+=+log%28+3%2C729+%29+\"$
\n" ); document.write( "Rewrite it as:
\n" ); document.write( " $\"+3%5Ey+=+729+\"$
\n" ); document.write( " $\"+3%5Ey+=+3%5E6+\"$
\n" ); document.write( " $\"+y+=+6+\"$ , so
\n" ); document.write( " $\"+12+-+x+=+6+\"$
\n" ); document.write( " $\"+x+=+6+\"$
\n" ); document.write( "check the answer:
\n" ); document.write( " $\"+3%5E%28+12+-+x+%29+=+729+\"$
\n" ); document.write( " $\"+3%5E%28+12+-+6+%29+=+729+\"$
\n" ); document.write( " $\"+3%5E6+=+729+\"$
\n" ); document.write( "OK
\n" ); document.write( "This is just one of many approaches
\n" ); document.write( " \n" ); document.write( "

\n" );