Answer with explanation:
The equation is
5 x-2 =8
Adding 2 on both sides
→5 x-2+2=8+2
→5 x=10
Dividing both sides by,5, we get
→x=2
Using the concept of Logarithms
![1.\log_{a}b=\frac{\log b}{\log a}\\\\2.\log ab=\log a +\log b\\\\\rightarrow \log_{10}{5 x}=\log_{10} 10\\\\\rightarrow \log_{10}5+\log_{10} x=1\\\\0.698+\log_{10} x=1\\\\\log_{10} x=1-0.698\\\\ \frac{\log x}{\log 10}=0.302\\\\ \log x=(\log 10^{0.302})\\\\ \log x=\log 2.044\\\\x=2.004472](https://tex.z-dn.net/?f=1.%5Clog_%7Ba%7Db%3D%5Cfrac%7B%5Clog%20b%7D%7B%5Clog%20a%7D%5C%5C%5C%5C2.%5Clog%20ab%3D%5Clog%20a%20%2B%5Clog%20b%5C%5C%5C%5C%5Crightarrow%20%5Clog_%7B10%7D%7B5%20x%7D%3D%5Clog_%7B10%7D%2010%5C%5C%5C%5C%5Crightarrow%20%5Clog_%7B10%7D5%2B%5Clog_%7B10%7D%20x%3D1%5C%5C%5C%5C0.698%2B%5Clog_%7B10%7D%20x%3D1%5C%5C%5C%5C%5Clog_%7B10%7D%20x%3D1-0.698%5C%5C%5C%5C%20%5Cfrac%7B%5Clog%20x%7D%7B%5Clog%2010%7D%3D0.302%5C%5C%5C%5C%20%5Clog%20x%3D%28%5Clog%2010%5E%7B0.302%7D%29%5C%5C%5C%5C%20%5Clog%20x%3D%5Clog%202.044%5C%5C%5C%5Cx%3D2.004472)
Gives, x=2.005 (Approx)
X is four because 10 plus 4 is fourteen
The actual weight of the package is 42 pounds.
Step-by-step explanation:
Given weight of package = 28 pounds
Let,
x be the actual weight.
According to given statement;
The actual weight is multiplied by 2/3
Therefore;
![\frac{2}{3}*x=28\\\\\frac{2}{3}x=28](https://tex.z-dn.net/?f=%5Cfrac%7B2%7D%7B3%7D%2Ax%3D28%5C%5C%5C%5C%5Cfrac%7B2%7D%7B3%7Dx%3D28)
Multiplying both sides by 3/2
![\frac{3}{2}*\frac{2}{3}x=28*\frac{3}{2}\\x=\frac{84}{2}\\x=42](https://tex.z-dn.net/?f=%5Cfrac%7B3%7D%7B2%7D%2A%5Cfrac%7B2%7D%7B3%7Dx%3D28%2A%5Cfrac%7B3%7D%7B2%7D%5C%5Cx%3D%5Cfrac%7B84%7D%7B2%7D%5C%5Cx%3D42)
The actual weight of the package is 42 pounds.
Keywords: division, multiplication
Learn more about multiplication at:
#LearnwithBrainly
Answer:
D. 4
Step-by-step explanation:
![\sqrt{2-\left( 4\right)^{2} } =\sqrt{2-16} =\sqrt{-12}](https://tex.z-dn.net/?f=%5Csqrt%7B2-%5Cleft%28%204%5Cright%29%5E%7B2%7D%20%20%7D%20%3D%5Csqrt%7B2-16%7D%20%3D%5Csqrt%7B-12%7D)
since ,√(-12) is not a real number
Then
The function f is not defined for x = 4