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

User KlingonJoe
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2 Answers

4 votes
False. That is not how properties of logs works. log(xy)=logx+logy, not log(x+y)=logx+logy.
User MSL
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7.4k points
6 votes
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.
User Daniel Wu
by
8.7k points
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