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: 107
Step-by-step explanation:
Answer:
x=3
y=7
Step-by-step explanation:
solve for the first variable in one of the equations, then substitute the result into the other equation.
Answer:
1st - 84. 2nd - Try doing this by yourself first and If you cant get it I'll help you.
Step-by-step explanation:
To find the area of a rectangle multiply its height by its width. For a square you only need to find the length of one of the sides (as each side is the same length) and then multiply this by itself to find the area.
Answer:
715 minutes
Step-by-step explanation:
we know that
To find out how many more minutes he can use, subtract the number of minutes he has already talked from the number of minutes of his plan
Let
x -----> the number of minutes of his plan
y -----> he number of minutes he has already talked
so

we have

substitute
