helo sir/madam

Question

can u help me to solve this problem

find the value of x in terms of b of the equation logb 2x-logb(x+2b)=1

Answer 1

log_v[ 2x/(x+2b) [ = 1

2x/(x+2b) = b^1
2x =bx + 2b^2
2x - bx = 2b^2
x(2 - b) = 2b^2
x = 2b^2/(2 - b)