Answer:
The solutions are x = 1.24 and x = -3.24
Step-by-step explanation:
Hi there!
First, let´s write the equation:
log[(x² + 2x -3)⁴] = 0
Apply the logarithm property: log(xᵃ) = a log(x)
4 log[(x² + 2x -3)⁴] = 0
Divide by 4 both sides
log(x² + 2x -3) = 0
if log(x² + 2x -3) = 0, then x² + 2x -3 = 1 because only log 1 = 0
x² + 2x -3 = 1
Subtract 1 at both sides of the equation
x² + 2x -4 = 0
Using the quadratic formula let´s solve this quadratic equation:
a = 1
b = 2
c = -4
x = [-b± √(b² - 4ac)]/2a
x = [-2 + √(4 - 4(-4)·1)]/2 = 1.24
and
x = [-2 - √(4 - 4(-4)·1)]/2 = -3.24
The solutions are x = 1.24 and x = -3.24
Have a nice day!
Answer:
+8, -4, +2
Step-by-step explanation:
The pattern rule is every other number is negative and it alternates. It would be plus, minus, plus, minus, and keep that going. The second part to the pattern rule is the next number is half of the previous. So 32 was half of 64, 16 was half of 32 so now 8 is half of 16, 4 is half of 8, and 2 is half of 4. Keep the + - + - + - pattern too.
Since there is no diagram this is how I did it. cross multiply and divide.
Answer:
See below ~
Step-by-step explanation:
Question 6(e) :
⇒ x² ≤ 16
<em>Take square root on each side :</em>
⇒ √x² ≤ √16
⇒ x ≤ 4 and x ≥ -4
⇒ -4 ≤ x ≤ 4
You want to get m by itself and the easiest way to do that is to add 18 to both sides, so you’re left with 16=-1m. Then you divide 16 and -1m, and your answer should be m=-16
