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:
b and c
Step-by-step explanation:
Answer:
The answer is 6z-28
Step-by-step explanation:
20 - 3[4(z+1) - 6(z-2)]
= 20 - 3(4z+4-6z+12)
= 20 - 3(16 - 2z)
= 20 - 48 + 6z
= 6z - 28
Answer:
350
Step-by-step explanation:
Nearest hundred: 300
Nearest whole number: 350
Hope this helped!
Answer:
2 proportions z test
The two populations are named as residents from the first county and residents from the second county.
Step-by-step explanation:
This is testing hypothesis about the difference between two proportions.
When the proportions are tested if they are the test statistic
z= ( p^1-p^2)- (p1-p2) / √p₁q₁/n₁ + p₂q₂/ n₂
where p^1 is the proportion of success in the first sample and p^2 of size n₁ is the proportion of success in the second sample of size n₂ with unknown proportions of successes p1 and p2 respectively.
When the sample sizes are sufficiently large
z= ( p^1-p^2)- (p1-p2) / √p₁q₁/n₁ + p₂q₂/ n₂ is approximately standard normal.
The two populations are named as residents from the first county and residents from the second county.