document.write( "Question 960110: Given Log x base 3 equals c and log b base 3 equals 2c. what is value of x? \n" ); document.write( "

Algebra.Com's Answer #586772 by josmiceli(19441) $\"\"$ $\"About$

You can put this solution on YOUR website!
$\"+log%28+3%2Cx+%29+=+c+\"$
\n" ); document.write( " $\"+log%28+3%2Cb+%29+=+2c+\"$
\n" ); document.write( "-----------------
\n" ); document.write( "Add the equations
\n" ); document.write( " $\"+log%28+3%2Cx+%29+%2B+log%28+3%2Cb+%29+=+3c+\"$
\n" ); document.write( " $\"+log%28+3%2C+b%2Ax+%29+=+3c+\"$
\n" ); document.write( "I can say:
\n" ); document.write( " $\"+3%5E%283c%29+=+b%2Ax+\"$
\n" ); document.write( " $\"+%28+3%5E3%29%5Ec+=+b%2Ax+\"$
\n" ); document.write( " $\"+b%2Ax+=+27%5Ec+\"$
\n" ); document.write( " $\"+x+=+27%5Ec+%2F+b+\"$ answer
\n" ); document.write( "-------------------
\n" ); document.write( "check:
\n" ); document.write( " $\"+log%28+3%2Cx+%29+=+c+\"$
\n" ); document.write( " $\"+3%5Ec+=+x+\"$
\n" ); document.write( " $\"+3%5Ec+=+27%5Ec+%2F+b+\"$
\n" ); document.write( " $\"+3%5Ec+=+%28+3%5E3%29%5Ec+%2F+b+\"$
\n" ); document.write( " $\"+3%5Ec+=+%28+3%5Ec%29%5E3+%2F+b+\"$
\n" ); document.write( " $\"+b+=+%28+3%5Ec+%29%5E2+\"$
\n" ); document.write( " $\"+b+=+3%5E%282c%29+\"$
\n" ); document.write( "and this gives me:
\n" ); document.write( " $\"+log%28+3%2C+b+%29+=+2c+\"$
\n" ); document.write( "OK\r
\n" ); document.write( "
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