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Goshia [24]
3 years ago
15

What is the answer to 5n²/2n³×5n³

Mathematics
1 answer:
DanielleElmas [232]3 years ago
4 0
5n(n^2+n+7)-3n(n^2+2n) 

<span>5n^3+5n^2+35n-3n^3-6n^2 </span>

<span>2n^3-n^2+35n </span>

<span>n(2n^2-n+35)</span>
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Evaluate log 2 base 8​
iren2701 [21]

Answer:  The correct answer is:  " 3 " .

_______________________________

Step-by-step explanation:

_______________________________

The problem given is:

_______________________________

Evaluate:  log 2 base 8 .

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Rewrite as:  " log_2}8 = ? _______________  " ;  log_2}8 = ? _______________

_______________________

Take note of the following definition of a logarithm:

_______________________

"   log_{m}n = a " ;  ↔  " m^{a} =n  "  ;

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in which:  m  refers to the "base" ;

               n  refers to the "argument" ;

               a  refers to the "exponent" ;

______________________________

As such:

       " log_2}8 = ? _______________ "

      ⇔ " 2^{x} = 8 " ; Solve for "x" ;  

 _______________

 Note:  

  2⁰ = 1 ;

  2¹ = 2 ;

  2² = 2 * 2 = 4 ;

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___________________

 → " 2^{x} = 8 " ;

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 → as such:   " x = 3  " ;

______________________

Thus:

"log 2 base 8 " ;

          = log{_{2}}8 = 3  .

_______________________

Hope this helps!

Best wishes to you!

3 0
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