Answer:
the simplified expression would be 35
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:
a) 
b) 
Step-by-step explanation:
a) 
1. Distribute the second power (2) outside the first pair of parenthesis:
= 
2. Distribute the third power (3) outside the second pair of parenthesis:
= 
3. Combine like terms:
--------------------------------------------
b) 
1. Factor the number 6 (= 2 · 3):
2. Cancel the common factor (2):
3. Cancel out 
in the numerator an denominator:
hope this helps!
The formula for direct variation is y = kx<span> where k </span>≠ 0
y = 9/x is an inverse relation
58.97
move the decimal to the left by one in order to get 10%
5.897
now multiply by 2 to get 20%
$11.79
