Question

Need help one questions for a study guide! Please and thank you ^^

1) When you add logs with a common bases you are actually performing what operation?

Answer 1

For two I believe it shifts the graph up by 4, is that correct?

Answer 2

yes

Answer 3

And for 1 I don't understand what it is asking

Answer 4

read carefully.

suppose,
\[\large a^{m}=p\]..............................1)
\[\large a^{n}=q\]...............................2)
now \[\large a^{m}*a^{n}=a^{m+n}=pq\]

now by log method,

taking log base a on both sides in 1) and 2),
\[\large m=\log_{a}p\]
\[\large n=\log_{a}q\]
\[\large m+n=\log_{a}p+\log_{a}q\]

In the last step we can see that on adding log we are just adding exponents of the no. represented by those log.

Answer 5

so another way it can be put is if we have to add log10(x) + log10(y) we would only be in reality adding the x and y values, and then dividing them by 10, right?

Answer 6

no, we are adding the powers of nos. represented by these logs.

Answer 7

read it once more.

Answer 8

oh...ok I understand now. I see it. The M and N values

Answer 9

Thank you!