On the top, use the power rule (see other post I answered).
x ln 7 = x + 7 ln 6
That is a messy equation.
Divide each side by (x + 7).
According to a logarithmic rule (whose name alludes me),
Then solve with your calculator with decimal place for 2 places.
That "logarithmic rule" probably doesn't exist so you better wait for another answer.
For the second problem,
Remember that log 10 = 1.
I don't know what it means by
Be sure to reject any value that is not in the domain of the original logarithmic expressions.
"Give an exact answer."
means dont give a decimal because it's probably a fraction or square root.