Question

Solve the logarithmic equation
log(5+x)-log(x-2)=log2

Answer 1

\[\log _{a}x-\log _{a}y=\log _{a}x/y\]

applying that here...

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

since log is being taken of both sides you can just equate the two

(5+x)/(x-2)=2

know what to do from here?

Answer 2

no

Answer 3

Multiply sides by x-2

5+x=2(x-2)
5+x=2x-4
9+x=2x
9=x