Answer:
8
Step-by-step explanation:
8^2=64 8*5=40 64-40=24
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:
18%
Step-by-step explanation:
Percent change can be found using the following formula:
Original represents the initial cost where new represents the new cost. We multiply the answer by 100 to get the percentage:
= 18%
5 feet is 5*12=60 inches. Therefore, our ratio is 28:60. Dividing both terms by 4, we see that the most simple ratio is 7:15.
Answer:
x =25
Step-by-step explanation:
This is an isosceles triangle because RS = ST
that means <r = <STR
4x-70 = STR
<STR + <STU = 180 straight line
subtract < STU from each side
<STR = 180 -<STU
we know angle stu = 6x
<STR = 180 -6x
we can substitute this into 4x-70 = STR
4x-70 = 180 -6x
add 6x to each side
4x+6x -70 = 180 -6x+6x
10x -70 = 180
add 70 to each side
10x-70+70 = 180+70
10x=250
divide by 10
10x/10 = 250/10
x =25
