Answer: y = -3x + 7
Step-by-step explanation: have a look at the pic attached and lemme know if u still dont get it! :)
<span>use De Moivre's Theorem:
⁵√[243(cos 260° + i sin 260°)] = [243(cos 260° + i sin 260°)]^(1/5)
= 243^(1/5) (cos (260 / 5)° + i sin (260 / 5)°)
= 3 (cos 52° + i sin 52°)
z1 = 3 (cos 52° + i sin 52°) ←← so that's the first root
there are 5 roots so the angle between each root is 360/5 = 72°
then the other four roots are:
z2 = 3 (cos (52 + 72)° + i sin (52+ 72)°) = 3 (cos 124° + i sin 124°)
z3 = 3 (cos (124 + 72)° + i sin (124 + 72)°) = 3 (cos 196° + i sin 196°)
z4 = 3 (cos (196 + 72)² + i sin (196 + 72)°) = 3 (cos 268° + i sin 268°)
z5 = 3 (cos (268 + 72)° + i sin (268 + 72)°) = 3 (cos 340° + i sin 340°) </span>
Answer: x=2 - 1/2 x ㏒(16/2953125)
Step-by-step explanation:
- log (28^2) + log(525^-3) + 2x=log(10^4)
- log(28^2 x 1/523^3) + 2x=4
- log(28^2/525^3) + 2x=4
- log (112/75 x 75 x 525) + 2x=4
- log(16/2953125) + 2x=4
- 2x=4-log(16/2953125)
- <u><em>x=2-1/2 x log(16/2953125)</em></u>
Answer:
Step-by-step explanation:
<u>The correct one is given below:</u>
- 5 - 4w = - 17
<u>+5 + 5</u>
-<u> 4</u>w = <u>-12</u>
- 4 -4
w = 3
The error is 4w instead of - 4w
