Question

SOLVE: log x - log (x+4) = -1

Answer 1

x = 4/9

Explanation:

Remember when you subtract logs, you divide the numbers;

This means;

log x - log (x+4) = -1 ---------can be written as;

`log(x)/(x+4) =-1`

Eliminate the log as

`(x)/(x+4) =10^(-1)`

x/ x+4 = 1/10

10x=x+4 --------collect like terms

10x-x =4

9x = 4 ------find value of x

x= 4/9