Answer:
Value of x will be 0.1515
Step-by-step explanation:
We have given the equation 
We have top fond the value of x using exponent and logarithmic property
So 



Taking log both side


x = 0.1515
Answer:
Dimensions of the rectangular plot will be 500 ft by 750 ft.
Step-by-step explanation:
Let the length of the rectangular plot = x ft.
and the width of the plot = y ft.
Cost to fence the length at the cost $3.00 per feet = 3x
Cost to fence the width of the cost $2.00 per feet = 2y
Total cost to fence all sides of rectangular plot = 2(3x + 2y)
2(3x + 2y) = 6,000
3x + 2y = 3,000 ----------(1)
3x + 2y = 3000
2y = 3000 - 3x
y = ![\frac{1}{2}[3000-3x]](https://tex.z-dn.net/?f=%5Cfrac%7B1%7D%7B2%7D%5B3000-3x%5D)
y = 1500 - 
Now area of the rectangle A = xy square feet
A = x[
]
For maximum area 
A' =
= 0
1500 - 3x = 0
3x = 1500
x = 500 ft
From equation (1),
y = 1500 - 
y = 1500 - 750
y = 750 ft
Therefore, for the maximum area of the rectangular plot will be 500 ft × 750 ft.
two fencing 3(500+500) = $3000
other two fencing 2(750+750) = $3000
Answer:
The concentration of hydrogen ions in moles per liter (M) is 
Step-by-step explanation:
As we know
The hydrogen ion concentration of any solution at pH is given by

Substituting the given values in above equation, we get -
mol/l
The concentration of hydrogen ions in moles per liter (M) is 
23, 710, 23, 751, 23, 715 Least to greatest
23, 23, 23, 710, 715, 751