Finding logarithms

Question

log₂3+log₂x=log₂5+log₂(x-2)

Answer 1

Utilize the property of addition of logarithms in which log₂3+log₂x = log₂3x. Again do the same for the right hand of the equation in which the final equation becomes:

 

log₂3x=log₂5(x-2). Now you could remove the logarithms since they are on both sides of the equation in which the final equation becomes:

 

3x=5(x-2). Now you could use simple algebra to solve for x.