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Likurg_2 [28]
3 years ago
6

Solve without a calculator log_4(20)-log_4(45)+log_4(144)

Mathematics
1 answer:
AfilCa [17]3 years ago
5 0
Log₄20-log₄ 45+log₄144=
log₄(20/45)+log₄144=                        (log_a b- log_a c=log_a  (b/c) )
log₄[(20*144)/45]=                             (log_a b +log_a c=log_a (b*c) )
log₄(2880/45)=
log₄(64)=n     ⇔      4^n=64                (log_a x=n   ⇔ a^n=x)

4^n=4³      ⇒n=3                                 (64=4*4*4=4³)

Answer: log₄20-log₄ 45+log₄144=3

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makvit [3.9K]

Answer:

Option (2)

Step-by-step explanation:

We have to arrange the given numbers in the order from least to greatest.

Numbers are \sqrt{64},8\frac{1}{7},8.1414..., \frac{15}{2}

1). \sqrt{64}=8

2). 8\frac{1}{7}=\frac{57}{7}=8.143

3). 8.1414....

4). \frac{15}{2}=7.5

Therefore, increasing order of the numbers will be,

8.143>8.1414>8>7.5

8\frac{1}{7}>8.1414...>8>7.5

Option (2) will be the correct option.

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Ilia_Sergeevich [38]

Answer:

Asnwer is A

Step-by-step explanation:

since the correlation between the FFQ and DR is 0.89

      x                            y               xy                    x^{2}                            y^{2}

    8.26                      1.68          13.8768          68. 2276          2.8224

     0.83                      0               0                    06889                  0

     20.13                   15.1           303.963          405.2169          228.01

      11.16                   7.49          83.5884          124.5456           56.1001

      7.18                    12.84         92.1912            51.5524            164.8656

       1.76                       0                0                   3.0976                 0

     22.46                  25.06        567.8596        513.4756           628.0036

-----------------------------------------------------------------------------------------------------------

       ∑x_{i} =                 ∑y_{i} =              ∑x_{i} y_{i}=               ∑x_{i}^{2} y_{i}^{2}=             ∑y_{i} ^{2}=      

      71.98                   62.17         1061.479            1166.8046      1079.8017  

-------------------------------------------------------------------------------------------------------------

Correlation Coefficient or Pearson Correlation is given by:  

the rest calculation is in the attached image

3 0
3 years ago
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