Note: I'm assuming you mean that
![64=4^x](https://tex.z-dn.net/?f=64%3D4%5Ex)
.
Taking the logarithm gives:
![\log{4^x} = \log{64}](https://tex.z-dn.net/?f=%5Clog%7B4%5Ex%7D%20%3D%20%5Clog%7B64%7D)
Using our rules of logarithms (
![\log{a^b} = b \log a](https://tex.z-dn.net/?f=%5Clog%7Ba%5Eb%7D%20%3D%20b%20%5Clog%20a)
), we have:
![x \log 4 = \log 64](https://tex.z-dn.net/?f=x%20%5Clog%204%20%3D%20%5Clog%2064)
This corresponds to answer A.
Answer:
![9\text{ cm}](https://tex.z-dn.net/?f=9%5Ctext%7B%20cm%7D)
Step-by-step explanation:
We can write the following proportion:
![\frac{\text{old perimeter}}{\text{scaled perimeter}}=\frac{\text{old scale factor}}{\text{new scale factor}}](https://tex.z-dn.net/?f=%5Cfrac%7B%5Ctext%7Bold%20perimeter%7D%7D%7B%5Ctext%7Bscaled%20perimeter%7D%7D%3D%5Cfrac%7B%5Ctext%7Bold%20scale%20factor%7D%7D%7B%5Ctext%7Bnew%20scale%20factor%7D%7D)
We know that the original perimeter of the Pentagon is 921 feet. So, substitute 921 for "old perimeter."
We are going to use a scale of 3 cm = 307 feet. Since the 307 feet corresponds to the original perimeter, we are going to substitute 307 for "old scale factor" and 3 for "new scale factor."
This gives us:
![\frac{921}{x}=\frac{307}{3}](https://tex.z-dn.net/?f=%5Cfrac%7B921%7D%7Bx%7D%3D%5Cfrac%7B307%7D%7B3%7D)
So, to find our scaled perimeter, we just need to find x.
Cross multiply:
![307x=2763](https://tex.z-dn.net/?f=307x%3D2763)
Divide both sides by 307:
![x=9](https://tex.z-dn.net/?f=x%3D9)
In other words, the total perimeter of Sawyer's drawing will be 9cm.
And we're done!
Answer:
Step-by-step explanation:
3(x - 2) = -27
3x - 6 = -27
3x = -21
x = -7
Answer:
Two factors
Step-by-step explanation:
it is important to note that every integer number has at least two factors:1 and the number itself. if a number has only two factors that number is a prime number
9.3 × 107 would be the scientific notation