document.write( "Question 432348: Is this solvable?
\n" ); document.write( "log of 9 to the base of x equals log of 6 to the base of x \n" ); document.write( "

Algebra.Com's Answer #299788 by robertb(5830) $\"\"$ $\"About$

You can put this solution on YOUR website!
Assuming $\"x+%3E+0\"$ and $\"x%3C%3E1\"$ , (the parameters for the logarithmic base), the expression $\"log%28x%2C+b%29\"$ is one-to-one, and so by property of inverses,
\n" ); document.write( " $\"log%28x%2C9%29+=+log%28x%2C+6%29\"$ <==> $\"x%5Elog%28x%2C9%29+=+x%5Elog%28x%2C6%29\"$ , or 9=6, which is false. Hence the equation has no real solution. \n" ); document.write( "

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