Answer: In 3
SOLVINGS
What is 3 ln 3 - ln 9 expressed as a single natural logarithm
Since ln (m^n) = n⋅ln (m) … natural logarithmic property
We can further simplify the expression 3 ln 3
3 In 3 = In (3^3)
Therefore, 3 ln 3 - ln 9 = In (3^3) – In 9
Since ln(m/n) =ln(m) – ln(n) … natural logarithmic property
We can further simplify the expression In (3^3) – In 9
In (3^3) – In 9 = In [(3^3)/(9)]
= In (27/9)
= In 3
Therefore, 3 ln 3 - ln 9 expressed as a single natural logarithm is In 3.
Answer:
Chef Rita can feed 20 people with 55 pancakes.
Step-by-step explanation:
We can solve this problem using equivalent ratios. Since we know that Chef Rita can feed 8 people with 22 pancakes, we can set up the ratio:

To solve how many people she would be able to feed with 55 pancakes, we can set ratios equal to each other and solve for 'x' which is the number of people.

We can see what factor we multiply 22 by to get 55 and then we multiply the denominator by the same factor to get our equivalent ratio. 55 ÷ 22 = 2.5. So, 8 x 2.5 = 20 people.
For the answer to the question above,
<span>Let's figure out the formula first
FV = PV(1+i/n)^(nt)
9762= 9000(1+0.12/12)^(12x)
9762= 9000(1.01)^12x
9762/9000=1.01^12x
1.08467=1.01^12x
ln1.08467/12 x ln1.01=0.681 years (8.17 months) same as my calculator
So,
0.681x360=
245.16 days is</span><span> the time period</span>
Answer:
3x>12 2x/3 ≤ 6
3x>12, x = 4 2x/3, x = 2 ≤ 6