Given that
log (3+√5) + log (3-√5)
We know that
log ab = log a + log b
⇛log [(3+√5)(3-√5)]
This is in the form of (a+b)(a-b)
Where a = 3 and b = √5
We know that
(a+b)(a-b) = a²-b²
⇛log [(3)²-(√5)²]
⇛log(9-5)
⇛log 4
<u>Answer</u> :- log (3+√5) + log (3-√5) = log 4
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witch of the following expression is equivalent to the logarithmic expression below. log(3)5/x^2 A)log(3) 5+2 log(3)x B)log(3) 5-2 log(3)x C)2 log(3) 5 -log(3)x...
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Answer: <span><span>{x|x ∈ U and 2x is prime} is an empty set.
</span>Justification:
</span>
U = {x|x is a positive integer greater than 1} = {2, 3, 4, 5, 6, ...}<span>
1) {x|x ∈ U and (1/2) x is prime}
Take x = 4 => (1/2) 4 = 4 / 2 = 2 = prime, so this is not empty.
{x|x ∈ U and 2x is prime}
2) 2x = {4, 6, 8, 10, 12, } so none of them is prime, hence this is an empty set.
3) {x|x ∈ U and (1/2) x can be written as a fraction}
Take any x that is odd. For example x = 3
=> (1/2)x = (1/2)3 = 3/2 which is a fraction, so this is not an empty set.
2) {x|x ∈ U and 2x can be written as a fraction}
Take any value of x, for example x = 7 => 2 = 14, and 14 = 28 / 2 so this is not an empty set.
</span>
Answer:
4 hope this helps!
Step-by-step explanation:
Answer:
-5.3.
Step-by-step explanation:
-8.6 + 2.3 + 1
= -6.3 + 1
= -5.3.
There are a total of 7C2 of options for Ryan's mom to choose.
If Ryan's mom picks Saturday and Sunday, this is the only 1 option in those 7C2 of options. Thus, the propability is (1 / 7C2) × 100% = 4.762%.