Answer:
x = 4/9
Step-by-step explanation:
Remember when you subtract logs, you divide the numbers;
This means;
log x - log (x+4) = -1 ---------can be written as;
[tex]log\frac{x}{x+4} =-1[/tex]
Eliminate the log as
[tex]\frac{x}{x+4} =10^{-1}[/tex]
x/ x+4 = 1/10
10x=x+4 --------collect like terms
10x-x =4
9x = 4 ------find value of x
x= 4/9