Answer:
(a) ln(x) = 0
Then 0 < x < 1
(b) e^x > 2
Then ln2 < x < ∞
(a) ln(3x - 17) = 5
x = 55.1377197
ln(a + b) + ln(a - b) - 5ln(c)
= ln[(a² - b²)/c^5]
Step-by-step explanation:
First Part.
(a) ln(x) < 0
=> x < e^(0)
x < 1 ....................................(1)
But the logarithm of 0 is 1, and the logarithm of negative numbers are undefined, we can exclude the values of x ≤ 0.
In fact the values of x that satisfy this inequalities are between 0 and 1.
Therefore, we write:
0 < x < 1
(b) e^x > 2
This means x > ln2
and must be finite.
We write as:
ln2 < x < ∞
Second Part.
(a) ln(3x - 17) = 5
3x - 17 = e^5
3x = 17 + e^5
x = (1/3)(17 + e^5)
= 55.1377197
Third Part.
We need to write
ln(a + b) + ln(a - b) - 5ln(c)
as a single logarithm.
ln(a + b) + ln(a - b) - 5ln(c)
= ln(a + b) + ln(a - b) - ln(c^5)
= ln[(a + b)(a - b)/(c^5)]
= ln[(a² - b²)/c^5]
Answer:
The interger is up to 27
Step-by-step explanation:
let X represent the number of people.
For fewer than 28 people, we have;
(X ∠28)
Meaning,
(X ∠28) = (X ≤27)
(X = 1) + (X = 2) + (X = 3) ............+ (X = 27)
1 +1 + 1 +...............(27 times)
Therefore, the interger is up to 27
Answer:
a): A line has a total degree of 180. So just subtract it. 180-92 is
y=88
b): Similar to the previous, a right angle has a total angle of 90. 90-45=45.
y=45.
These are all the ones I can figure out. I hope someone else can get c) and d).
The probability of an ocean scene going on the gym wall is 16%
Answer:
11 pounds
Step-by-step explanation:
1 k = 2.2 p
5 k = ?
2.2 x 5 = 11
5 k = 11 p
