Question #eaf3e

1 Answer
Oct 25, 2017

x=2/3

Explanation:

I'm assuming the question was

log((x+1)/x)+log(2)=log(5)

Some rules for logarithms:

  1. log(A)+log(B) = log(A*B)
  2. log(A)-log(B) = log(A/B)

We can use the first rule, so

log((x+1)/x)+log(2)

becomes

log(2*(x+1)/x)

Thus

log(2*(x+1)/x) = log(5)

Eliminate logs

10^log(2*(x+1)/x)=10^log(5)

2*(x+1)/x=5

2x+2=5x

2=3x

x=2/3