document.write( "Question 841359: log10(x+1) - log10(x-6)= 1 \n" ); document.write( "

Algebra.Com's Answer #506855 by josmiceli(19441) $\"\"$ $\"About$

You can put this solution on YOUR website!
$\"+log%28+10%2C+x%2B1+%29+-+log%28+10%2C+x-6+%29+=+1+\"$
\n" ); document.write( " $\"+log%28+10%2C+%28x%2B1%29%2F%28x-6%29+%29+=+1+\"$
\n" ); document.write( "Now make the substitution
\n" ); document.write( " $\"+1+=+log%28+10%2C+10+%29+\"$
\n" ); document.write( " $\"+log%28+10%2C+%28x%2B1%29%2F%28x-6%29+%29+=+log%28+10%2C10+%29+\"$
\n" ); document.write( " $\"+%28+x%2B1+%29%2F%28+x-6+%29+=+10+\"$
\n" ); document.write( " $\"+x+%2B+1+=+10x+-+60+\"$
\n" ); document.write( " $\"+9x+=+61+\"$
\n" ); document.write( " $\"+x+=+61%2F9+\"$
\n" ); document.write( "-------------
\n" ); document.write( "check:
\n" ); document.write( " $\"+log%28+10%2C+x%2B1+%29+-+log%28+10%2C+x-6+%29+=+1+\"$
\n" ); document.write( " $\"+log%28+10%2C+61%2F9+%2B+1+%29+-+log%28+10%2C+61%2F9+-+6+%29+=+1+\"$
\n" ); document.write( " $\"+log%28+10%2C+6.7778+%2B+1+%29+-+log%28+10%2C+6.7778+-+6+%29+=+1+\"$
\n" ); document.write( " $\"+log%28+10%2C+7.7778+%29+-+log%28+10%2C+.7778+%29+=+1+\"$
\n" ); document.write( " $\"+.89085+-+%28+-.10914+%29+=+1+\"$
\n" ); document.write( " $\"++.99999+=+1+\"$
\n" ); document.write( "close enough\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( " \n" ); document.write( "

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