SOLUTION: Is this solvable? log of 9 to the base of x equals log of 6 to the base of x

Question 432348: Is this solvable?
log of 9 to the base of x equals log of 6 to the base of x
Found 2 solutions by richard1234, robertb:
Answer by richard1234(7193) (Show Source): You can put this solution on YOUR website!
Yes, but no solution is expected:

Using the change of base formula,

--> . However, this would result in , not a very nice equation since can be infinite, hence undefined. Therefore there are no real solutions.
Answer by robertb(5830) (Show Source): You can put this solution on YOUR website!
Assuming and , (the parameters for the logarithmic base), the expression is one-to-one, and so by property of inverses,
<==> , or 9=6, which is false. Hence the equation has no real solution.
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