Question

Log(x)-log(x+6)=log(k) Find x if k=1/2

Answer 1

Answer:

x = 6

Step-by-step explanation:

Using the rules of logarithms

logx - logy = log ($\frac{x}{y}$ )

logx = logy , then x = y

Given

log(x) - log(x + 6)

= log($\frac{x}{x+6}$ )

Then

log )$\frac{x}{x+6}$ ) = log($\frac{1}{2}$ ) , thus

$\frac{x}{x+6}$ = $\frac{1}{2}$ ( cross- multiply )

2x = x + 6 ( subtract x from both sides )

x = 6