Question

Fan and medal!!! If log(x+3)-log(x-5)=log2,what is the value of x?
A) 2
B) 13
C) 5
D) -30

Answer 1

@fateal @Jesstho.-.

Answer 2

\[\Large \log(x+3)-\log(x-5) = \log(2)\]

\[\Large \log\left(\frac{x+3}{x-5}\right) = \log(2)\]

\[\Large \frac{x+3}{x-5} = 2\]

\[\Large x+3 = 2(x-5)\]

I'll let you finish up

Answer 3

In step 2, I used rule #2 from this page

http://www.purplemath.com/modules/logrules.htm

Answer 4

when you subtract logs you divide the numbers
you have an equation