Answer:
Step-by-step explanation:
A quadratic equation has one root if the discriminant is 0.
That is we need 
for this particular question.
Compare the following to find 
:
The variable 
is representative of the variable 
here.
Plug in into :
Subtract 4 on both sides:
Divide both sides by 16:
Reduce:
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:
Step-by-step explanation:
Answer:CACA
CACA
Step-by-step explanation:
(im not sure if there is a picture of the question but i cant see it)
Answer:
or 5.5
Step-by-step explanation:
In order to find the slope of a line using two points on a graph, you must use
Pluging in the points (-4,7) and (-6, -4) to the formula you will get:
The equation for the line would be x+29
