Does this logarithmic equation have a solution?

I must solve the following logarithmic equation:

I found the answer as:

Which gives me two approximate answers:

0.232 and -17.232

The negative answer clearly cannot be considered a solution. But what about the positive answer? When I sub it back into the original equation, it appears to cause a problem at since it would give this log a negative argument. However, since it can be converted to does that mean that 0.232 does work as a solution?

Thank you!