Question

Write in logarithmic form

Answer 1

\[\huge E= \frac{ 1 }{ 2 }mv ^{2}\]

Answer 2

You can use the properties:
log(ab)=log(a)+log(b)
log((a)^m)=m log(a)

Answer 3

log(a/b)=log(a)-log(b)

Answer 4

Think:\[\ln [E= \frac{ 1 }{ 2 }mv ^{2}]\rightarrow ?\]

Answer 5

\[E = \dfrac{m}{2} v^2\]

\[ \log E = \log \dfrac{m}{2} + 2 \log v\]

Answer 6

Notice that m is just a constant,
so this essentially is a straight line

Answer 7

y = \(\log E\)
x = \(\log v\)

\(y = \log \frac{m}{2} + 2 x\)
straight line equation!

Answer 8

so we can split log m/2 as log m - log 2

Answer 9

you can

Answer 10

m and 2 are constants, so u can leave it as it is..

Answer 11

thank you dude!

Answer 12

so logify ur data to straighten it :)

Answer 13

u wlc !