Question

log(x+5)=log(x)+log(5)

Answer 1

\[x = 5/4\]

Answer 2

can you explain?

Answer 3

?

Answer 4

Yep,

There is a law of logs that says, log of something timeslog of something else = log(somthing+something else). In your case\[log(x) + log(5)\]is actually equal to \[log(5x)\]because of the law of logs which makes your equation\[log(5+x) = log(5x)\]Now we can take the inverse log (or \(e\)) of both sides. to give\[x +5= 5x\] and solve from there.

Does that make sense? (Forgive any spelling discrepancies)

Answer 5

yes it does.

Answer 6

I got x=4/5 because you subtract the x making it 5=4x

Answer 7

never mind I got 5/4