Use logarithms to solve each equation 2x9/8=111

We have this equation:



and we need to find the value of x.

First of all, we multiply the whole equation for 1/2, so our goal is to isolate x, therefore:


 
Next step we must do is to apply logarithms:



Next, we have to apply identities and then to solve the equation:






Finally, we have the value of x which was our goal. This is the answer for the question above:

Where the answer choices?