Answer: x = -0.377
Step-by-step explanation:
We have the equation:
4^(5*x) = 3^(x - 2)
Now we can use the fact that:
Ln(A^x) = x*Ln(A)
Then we can apply Ln(.) to both sides of the equation to get:
Ln(4^(5*x)) = Ln(3^(x - 2))
(5*x)*Ln(4) = (x - 2)*Ln(3)
(5*x)*Ln(4) - x*Ln(3) = -2*Ln(3)
x*(5*Ln(4) - Ln(3)) = -2*Ln(3)
x = -2*Ln(3)/(5*Ln(4) - Ln(3)) = -0.377
It is more than one I think because it becomes -1 over -12 WITHOUT the -power and then add the power and it becomes positive. Make the power positive and it will become negative making it less than 1.
Answer:
14
Step-by-step explanation:
Divide 3 1/2 into 1/4
-5x+y=-3
3x-8y=24
Substitution method. Solving for the first equation, because it's easy.
y=-3+5x
Plugin to the other equation.
3x-8(-3+5x)=24
Simplify: 3x+24-40x=24 (Remember, multiplying negatives makes it positive.)
Simplify: -37x + 24 = 24
Subtract: -37x = 24-24
-37x=0
x=0
Plug back into the first:
y=-3+5(0)
y=-3+0
y=-3
Option A
