document.write( "Question 979485: use log of logarithm to expand expression log6(6x) \n" ); document.write( "

Algebra.Com's Answer #600771 by josmiceli(19441) $\"\"$ $\"About$

You can put this solution on YOUR website!
$\"+log%28+6%2C+6x+%29+\"$
\n" ); document.write( "I can say:
\n" ); document.write( " $\"+y+=+log%28+6%2C+6x+%29+\"$
\n" ); document.write( "The inverse of this is:
\n" ); document.write( " $\"+6%5Ey+=+6x+\"$
\n" ); document.write( "This is equivilant to:
\n" ); document.write( " $\"+6%2A6%5E%28+y-1+%29+=+6x+\"$
\n" ); document.write( "Divide both sides by $\"+6+\"$
\n" ); document.write( " $\"+6%5E%28+y-1+%29+=+x+\"$
\n" ); document.write( "The inverse is:
\n" ); document.write( " $\"+y+-+1+=+log%28+6%2C+x+%29+\"$
\n" ); document.write( " $\"+y+=+log%28+6%2Cx+%29+%2B+1+\"$
\n" ); document.write( "--------------------------
\n" ); document.write( "check:
\n" ); document.write( "Suppose $\"+x+=+6%5E10+\"$
\n" ); document.write( " $\"+y+=+log%28+6%2C+%286x%29+%29+\"$
\n" ); document.write( " $\"+y+=+log%28+6%2C+%286%2A6%5E10%29+%29+\"$
\n" ); document.write( " $\"+y+=+log%28+6%2C+%286%5E11%29+%29+\"$
\n" ); document.write( " $\"+y+=+11+\"$
\n" ); document.write( "and
\n" ); document.write( " $\"+y+=+log%28+6%2Cx+%29+%2B+1+\"$
\n" ); document.write( " $\"+y+=+log%28+6%2C%286%5E10%29+%29+%2B+1+\"$
\n" ); document.write( " $\"+y+=+10+%2B+1+\"$
\n" ); document.write( " $\"+y+=+11+\"$
\n" ); document.write( "OK\r
\n" ); document.write( "\n" ); document.write( " \n" ); document.write( "

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