You note that you have not studied logs yet. (I guess you were sick for a couple of weeks?)
The step-by-step instructions won't make any sense until you learn the material you missed, so that's where you'll need to start.
Logarithms
Log Rules
Solving Log Equations
Solving Exponential Equations
After you've studied the above, you should be ready to at least get started on this exercise:
Use "The Relationship" to convert the log-base-seven equation to the equivalent exponential form. Subtract the 4 and the x over to the right-hand side. Simplify.
Use "The Relationship" again to covert the log-base-two equation to the equivalent exponential form.
Then you'll need to get fancy. If you get stuck at that stage, please reply showing all of your steps so far, and we'll be glad to help you with the quadratic-form base-two exponential equation.