The solution is approx. using the Intermediate Value Theorem.
The quantity on the right can only be positive when 0 The domain can be split into 0.1 intervals, and by substituting to 0.9 in the expression where log is assumed to be base 10, it can be seen that the expression changes sign between 0.4 and 0.5.
This interval can be split into hundredths: and re-evaluated. By continuing this process an approximate value of x can be found.
If the logs are natural logs approx.
Note that , so the question can be expressed: