Question

How to solve this equation?

Answer 1

the answer to you question is x=12

Answer 2

First condense using the rules of logs.
Log base 2 ((x-2)/5) = 1
Do a base power 2 to each side to clear the log base 2.
2^ log base 2 ((x-2)/5) = 2^1
(x-2)/5 = 2
Multiply both sides by 5
x-2 = 10
Add 2 to both sides
x = 12