log 2 (2x+8)= 5 the 2 is under the log

We'll write 5 as a result of using power property of logarithms:

5 = 5*1 = 5*log 2 (2) = log 2 (2^5)

Now, we'll re-write the equation:

log 2 (2x+8) = log 2 (2^5)

We'll use one to one property:

2x+8=32

We'll isolate 2x to the left side:

2x = 32-8

2x = 24

We'll divide by 2:

x = 12

The solution of the equation is x=12.