First join the log4 on the left:
log4( x*(x-3) = log4(-7x+21)
Then x = -7, works: -7*(-10)=70 = -7*(-7)+21
x=-3, 18 = 42, does not work
x=3 0=0 works,
However, when one puts x = -7 in the *original* exression, log4(-7) or log4(-10) do not exist (you know why?). So x= -7 is extraneous.
Now x=3 gives log4(0) on the left and right, which does not exist.
So, C is the answer, both are extraneous. Seem to work but indeed don't work in the *original* equation
The correct answer for the given statement above would be TRUE. It is true that there is no solution to the equation sec x = 0. Why?
<span>Sec(x) is actually 1/cos(x), which can't be absolute zero. Cos(x) ranges between -1 and 1; it would have to be unbounded for sec(x) to reach 0, or in short, it is undefined. Hope this answer helps. </span>
Answer: 24 ÷ 3
Step-by-step explanation: You do 24÷3 because he has a string that is 24 inches long and if he wanted to divide it into 3 equal pieces . You would get 8 inches long for each piece (8x3) or (3x8)
Answer: (3,1)
Explanation:
For this case we have by definition, that the volume of a cone is given by:

Where:
A: It is the cone radius
h: It's the height
They tell us that the diameter is 21 m, then the radius is half the diameter, that is: 10.5m. The height is 4m. Substituting the data:
.
Finally, the volume of the cube is
ANswer:
Option B