Answer:
smallest number=626
middle number=628
larger number=630
Step-by-step explanation:
To find the numbers, let's use n as the variable. Since we know that the numbers are consecutive even numbers, we know that they increase by 2. For example, we could have 2+4+6=12.
Knowing that the consecutive numbers increase by two's, we can use this.
smallest number: n
middle number: n+2
larger number: n+4
All we have to do is add these together and set it equal to 1884.
n+(n+2)+(n+4)=1884 [combine like terms]
3n+6=1884 [subtract both sides by 6]
3n=1878 [divide both sides by 3]
n=626
Now that we know n=626, we also know that the other numbers are 626, 628, 630 respectively.
You can take the log of the left and right hand side, and then apply the <span>logarithm rules:
log(a</span>ˣ) = x·log(a)
log(ab) = log(a) + log(b)
log(9^(x-1) * 2^(2x+2)) = log(6^(3x))
log(9^(x-1)) + log(2^(2x+2)) = 3x log(6)
(x-1) log(9) + (2x+2) log(2) - 3x log(6) = 0
x(log9 + 2log2 - 3log6) = log9 - 2log2
x = (log9 - 2log2) / (log9 + 2log2 - 3log6)
simplifying by writing log9 = 2log3 and log6 = log2+log3
x= 2(log3 - log2) / (2log3 + 2log2 - 3log2 - 3log3) =
x= -2(log3 - log2) / (log3 + log2) = -2 log(3/2) / log(6)
So 6^x = 4/9
Answer:
396
Step-by-step explanation:
do 2378 ÷ 6 = 396
Step 1. 2378 ÷ 6 = 396
boom answer
Answer:
5.75
Step-by-step explanation:
10 1/4 = 10.25
4 1/2 = 4.5
10.25 - 4.5 = 5.75
