This equation uses two properties of logarithms:
So you could take the ln from left and right hand side in the equation, and get:
(2-x)ln 3 = x ln 5
then
2 ln 3 - x ln 3 - x ln 5 = 0 =>
x(ln 3 + ln 5) = 2 ln 3
so x = 2 ln 3 / (ln3 + ln5)
Now using the 1st property you can say 2 ln 3 is ln 3² = ln9
and using the 2nd property you can say ln3 + ln5 = ln15
so x= ln9 / ln15
Answer: 7.2
Step-by-step explanation: the some of all angles should equal 180
Answer:
−4x−4=12
Step 1: Add 4 to both sides.
−4x−4+4=12+4
−4x=16
Step 2: Divide both sides by -4.
−4x = 16
−4 −4
x=−4
Answer:
x=−4
Answer:
x = 3/2
Step-by-step explanation:
2(x + 5) = 6x + 4
Open bracket first
2 × x + 2×5 = 6x + 4
2x + 10 = 6x + 4
Rewrite equation
6x + 4 = 2x + 10
Subtract 2x from both sides
6x - 2x + 4 = 2x - 2x + 10
4x + 4 = 10
Subtract 4 from both sides
4x + 4 - 4 = 10 - 4
4x = 6
Divide both sides by 4
4x/4 = 6/4
x = 6/4
Divide both denominator and numerator by 2
x = (6/4) ÷ 2
x = 3/2
I hope this was helpful, please rate as brainliest
Answer:
0.54,0.46,0.43
Step-by-step explanation:
Given that India is the second most populous country in the world, with a population of over 1 billion people.
The pdf of household size say X in India varies from 1 to 8.
The distribution is shown as follows
X 1 2 3 4 5 6 7 8 Total
P 0.02 0.09 0.18 0.25 0.20 0.12 0.08 0.06 1.00
a) the probability that there are less than 5 members in a household in India
=
=
b. the probability that there are 5 or more members in a typical household
in India
=
c) the probability that the number of members in a typical household in India is strictly between 2 and 5
