Question

Help with equivalent logarithms? (file attached)

Answer 1

Ive done all of #3 except part D

Answer 2

define the midpoints of the line segments from opposite vertexes

Answer 3

but how? I can not figure it out

Answer 4

what are the points that define the corners of the rhombus? and what are opposite pairs?

Answer 5

given a line segment between 2 points; point A and point B

the middle of the line is simply the average of the points: (A+B)/2

Answer 6

the points are (-2,-4)(3,-4)(6,0)(1,0) the midpoint is (2,-2)

Answer 7

(-2,-4)(3,-4)(6,0)(1,0)



so opposite pairs of vertex are: (-2,-4)(6,0) and (3,-4)(1,0) right?

Answer 8

add the opposites and divide by 2 ....

Answer 9

typoed it :)


(-2,-4) (3,-4)
+( 6, 0) +(1, 0)
-------- -------
(4,-4) (4,-4)

(4,-4)/2 = (2,-2)

Answer 10

ohh okay!

Answer 11

any chance you know how to do question 1?

Answer 12

what are your log properties?

Answer 13

\[log_m(1/n)=log_m(1/n)\]
\[-log_m(n)=log_m(1)-log_m(n)=log_m(1/n)\]
\[log_{1/m}(n)=\frac{ln(n)}{ln(1/m)}=\frac{ln(n)}{-ln(m)}\]
\[log_{1/m}(n)=\frac{ln(n)}{ln(1/m)}=\frac{ln(n)}{-ln(m)}=\frac{-ln(n)}{ln(m)}=\frac{ln(1/n)}{ln(m)}=log_m(1/n)\]

Answer 14

Thank you so much! Your help means a lot to me :)