4x+2> or equal to 14 and -21x+1>22, find all real numbers for x
1 answer:
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Answer:
Approximately
Step-by-step explanation:
we know that
The volume of a cylinder (barrel) is equal to
in this problem we have
-----> the radius is half the diameter
substitute
<u>Convert to gallons</u>
Answer:
x = 1/2 and 3/2
Step-by-step explanation:
The given equation is logₓ (8x-3) - logₓ 4 = 2
Then we have to determine the value of x.
logₓ = 2 [ since log a - log b = log
]
Now [if
b = c then
= b]
4x² = 8x -3
4x² - 8x + 3 = 0
(2x)² - 2(4x) + (4-4) + 3 = 0
[(2x)² - 2 (4x) + 4 ] - 1 = 0
(2x - 2)² = 1
(2x - 2)² = ± 1 ⇒
2x - 2 = 1 and 2x - 2 = -1
x = 3/2 2x = 1
x = 1/2
Therefore, x = 1/2 and 3/2 are the answers.