Step-by-step explanation:
10X+ 180= 500
10X= 500-180
10X= 320. .....divine both sides by 10 to solve for X
X = 32.
check
10(32)+180 = 500
320+180 =500
500 =500...confirmed
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:
See below ~
Step-by-step explanation:
<u>Perimeter</u>
- 2(6 + 8)
- 2(14)
- <u>28</u> units
<u>Area</u>
- 2(4 x 2) + 2(8)
- 4(8)
- <u>32</u> square units
Answer:
x=6
Step-by-step explanation:
since y=5x/2-7, and y=4x/3
so 5x/2-7=4x/3
5x/2-4x/3= 7
15x-8x/6=7
7x/6=7
x= 7*6/7= 6
Hope you understand. tell me if u need help
