outside the parentheses in log condensing

[mathmarauder]

Hello
I want to figure out the problem myself, I just was hoping I could
get some help on how to address a number outside of the parentheses.
here is an example

7(2 log x + 4log y) - 7log z

When condensing this problem, I just want to know where to apply the 7
my thoughts are....

(7logx^2 + 7log y^4) -7log z
I knwo this isnt the answer...but is this exactly how I would
apply the 7? Any help would be great. thank you

 

[Deleted member 4993]

Hello
I want to figure out the problem myself, I just was hoping I could
get some help on how to address a number outside of the parentheses.
here is an example

7(2 log x + 4log y) - 7log z

When condensing this problem, I just want to know where to apply the 7
my thoughts are....

(7logx^2 + 7log y^4) -7log z
I knwo this isnt the answer...but is this exactly how I would
apply the 7? Any help would be great. thank you

Yes - you are correct.

However, you could also do that multiplication after you had finished addition and subtraction of the logarithms.

 

[Loren]

You say "when condensing this problem"... I don't know what "condensing" means except when applied to milk. But, let's consider this problem...

7(2a + 4b) - 7c

Here are a couple of possible manipulations.

14a + 28b - 7c

or

7(2a + 4b - c)

Of course, each of these results are obtainable from the other.

 

[mathmarauder]

Thank you very much all