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Law Incorporation [45]
3 years ago
6

Which expressions are equivalent to the one below? Check all that apply. log 2 - log 8

Mathematics
1 answer:
blagie [28]3 years ago
8 0

Answer:

\log 2-\log 8=\log\frac{1}{4}\\\\\log 2-\log 8=-\log 4

Step-by-step explanation:

\log 2-\log 8=\log\frac{2}{8}\ \ \ \ \ \ \ \ \ \ \ \ \ \ \log\frac{a}{b}=\log a-\log b\\\\\log 2-\log 8=\log\frac{1}{4}\\\\\log 2-\log 8=\log 1-\log 4\ \ \ \ \ \ \ \ \ \ \ \ \ \ \log\frac{a}{b}=\log a-\log b\\\\\log 2-\log 8=-\log 4\ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \log 1=0

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This is incomprehensible, but I would be happy to help if you perhaps re-typed it :D

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The U.S. population in 1910 was 92 million people. In 1990, the population was 280 million. This could either be a linear or exp
HACTEHA [7]

Answer:

The linear model means that there is a uniform increase and in this case of US population from  92  million people in  1910  to  250  million people in  1990 .  

This means an increase of  250 − 92 = 158  million in  1990 -1910 = 80  years or   158 80 = 1.975  million per year and in  x  years it will become   92 + 1.975 x  million people. This can be graphed using the linear function  1.975 ( x − 1910 ) + 92 ,

graph{1.975(x-1910)+92 [1890, 2000, 85, 260]}

The exponential model means that there is a uniform proportional increase i.e. say  p %  every year and in this case of US population from  92  million people in  1910  to  250  million people in  1990 .  

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p %  given by  92 ( 1 + p ) 80 = 250  which gives us  ( 1 +p ) 80 = 250 92  which simplifies to  p = ( 250 92 ) 0.0125 − 1 = 0.0125743  or  1.25743 % .  

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Step-by-step explanation:

Hope this helps

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THE ANSWER FOR THE OTHER EQUATION: (x-5y=1)

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x−5y=1

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x=5y+1

Answer:

x=5y+1

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