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!
354 / 4 = 88.5
so2 numbers below that and 2 numbers above that:
87 + 88 + 89 +90 =
2nd number is 88
Answer:
1) 0.5
2)-2
3)-23
Step-by-step explanation:
1) -3×1=-3
-3+2.5= 0.5
2) -3×1.5=-4.5
-4.5+2.5= -2
3) -3×8.5=-25.5
-25.5+2.5=-23
Answer:
y = 2/3 x
Step-by-step explanation:
slope = m = 4/6 = 2/3
y-intercept = b = 0
Equation: y = mx + b
y = 2/3 x
The inverse function
is such that

If
, then we have

Solve for the inverse :
