Could someone please help me on this problem. I'm really confused, and this assignment is due tomorrow.

Solve the logarithmic equation algebraically. Approximate the result to three decimal places.

log4x-log4(x-1)=1/2

To start off the equation, I know you would do the following:

log4(x/x-1)=1/2

After that, I'm just not sure how to solve it. Any help would be greatly appreciated.

1 answer

log4 ( ) = 1/2
or ( )=4^1/2
or ( )=2

2x-2=x
x=2