Question

is -5log(24) the same as -5log(3)-5log(8) or -5log(3)+5log(8) ?

Answer 1

-5log(3)-5log(8)

Answer 2

[ @ sasogeek ] - good question. i too want to know ...imformative.

Answer 3

-5log(24) the same as -5log(3)-5log(8) but not -5log(3)+5log(8)

Answer 4

\[-5\log(3 \cdot 8)=-5[\log(3)+\log(8)]=-5\log(3)-5\log(8)\]

Answer 5

I think that's the answer because it's would be:

-5[log24]
-5[log(3)+log(8)]

and you would distribute the -5:
so it is:
-5long(3)-5log(8)

Answer 6

You can use calculator to check whether the value is same for both too.

Answer 7

thanks :)

Answer 8

np :)

Answer 9

To be more general
Assume x>0 , y>0
\[a \log(xy)=a [\log(x)+\log(y)] \text{ by one of the properties of loga.} \]
\[=a \log(x)+ a \log(y) \text{ by the distributive property}\]