Question

True or false log(x+y)-logy=logx

Answer 1

False. That is not how properties of logs works. log(xy)=logx+logy, not log(x+y)=logx+logy.

Answer 2

log(x + y) - logx = logx

By laws of logarithm, logA - logB = log(A/B)

log(x + y) - logx = log((x +y)/x)

log((x +y)/x) is not equal to log x.

So the statement:

log(x + y) - logx = logx is False.

Hope this helps.