Irrational because you it’s irra
Answer:
14 is the opposite of -14
Step-by-step explanation:
Answer:
The solution is x = e⁶
Step-by-step explanation:
Hi there!
First, let´s write the equation
ln(x⁶) = 36
Apply logarithm property: ln(xᵃ) = a ln(x)
6 ln(x) = 36
Divide both sides of the equation by 6
ln(x) = 6
Apply e to both sides
e^(ln(x)) = e⁶
x = e⁶
The solution is x = e⁶
Let´s prove why e^(ln(x)) = x
Let´s consider this function:
y = e^(ln(x))
Apply ln to both sides of the equation
ln(y) = ln(e^(ln(x)))
Apply logarithm property: ln(xᵃ) = a ln(x)
ln(y) = ln(x) · ln(e) (ln(e) = 1)
ln(y) = ln(x)
Apply logarithm equality rule: if ln(a) = ln(b) then, a = b
y = x
Since y = e^(ln(x)), then x =e^(ln(x))
Have a nice day!
Answer:
- width: 1.9 ft
- length: 2.3 ft
- height: 1.7 ft
Step-by-step explanation:
The volume of a rectilinear shape is given by ...
V = W·L·H . . . . . where W, L, and H represent width, length, and height
Filling in the given information, we want to find a solution to ...
7.4 = x(x +0.4)(x -0.2)
If we write ...
f(x) = x(x +0.4)(x -0.2)
Then we're looking for the value of x that satisfies ...
f(x) -7.4 = 0
The attached graph shows that value to be 1.897, about 1.9 (feet). Then the desired kennel dimensions are ...
- width: 1.9 ft
- length: 2.3 ft
- height: 1.7 ft
