Questions on Algebra: Roman numerals answered by real tutors!

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Question 1193138: x=log2x-log8x=4
Found 2 solutions by Edwin McCravy, Alan3354:
Answer by Edwin McCravy(20077) About Me  (Show Source):
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There is no way to use methods of algebra to solve an equation for 
an unknown that appears both inside and outside of a logarithmic, 
exponential, or trigonometric function.  The only way is to 
approximate it with a computer, calculator, or iterative method 
("educated" trial and error).

Perhaps you did not mean to have " x= " in the front as if it were
part of the equation, and meant only this equation:

log%282%2C%28x%29%29-log%288%2C%28x%29%29%22%22=%22%224

Let's convert one of the logs so we will have both logs to the same 
base.

I choose to convert log%288%2C%28x%29%29 to base 2.

You should memorize the change of base formula:

 log%28b%2C%28a%29%29=log%28c%2C%28a%29%29%2Flog%28c%2C%28b%29%29

and plug in a=x, b=8, c=2

log%288%2C%28x%29%29=log%282%2C%28x%29%29%2Flog%282%2C8%29%22%22=%22%22log%282%2C%28x%29%29%2Flog%282%2C2%5E3%29=log%282%2Cx%29%2F3

So substitute log%282%2C%28x%29%29%2F3 for log%288%2C%28x%29%29 in

log%282%2C%28x%29%29-log%288%2C%28x%29%29%22%22=%22%224


log%282%2C%28x%29%29-log%282%2C%28x%29%29%2F3%5E%22%22%5E%22%22%22%22=%22%224


Multiply through by 3

3log%282%2C%28x%29%29-log%282%2C%28x%29%29%22%22=%22%2212

2log%282%2C%28x%29%29%22%22=%22%2212

log%282%2C%28x%29%29%22%22=%22%226

By the definition of logarithms, from the above equation,
we have this:

x%22%22=%22%22%22_____%22%22%22=%22%22%22_____%22 

(You fill in those blanks, the first one with an 
eponential expression and the second with a number.

Edwin

Answer by Alan3354(69443) About Me  (Show Source):

Question 1181401: Letter Z is 26 in base ten;decide Z in binary scale
Found 2 solutions by greenestamps, Solver92311:
Answer by greenestamps(13327) About Me  (Show Source):
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In general, to convert a number n in base 10 to another base b, repeatedly divide n by b and pick off the remainders, until the number left is 0.

To convert 26 base 10 to base 2...

26/2=13 remainder 0
13/2 = 6 remainder 1
6/2 = 3 remainder 0
3/2 = 1 remainder 1
1/2 = 0 remainder 1

Those remainders, written in reverse order, are the digits of the converted number in base 2.

ANSWER: 26 (base 10) = 11010 (base 2)

Here is another random example to help you understand the process: convert 417 base 10 to base 5:

417/5 = 83 remainder 2
83/5 = 16 remainder 3
16/5 = 3 remainder 1
3/5 = 0 remainder 3

ANSWER: 417 (base 10) = 3132 (base 5)

CHECK: 3132 (base 5) = 3(5^3)+1(5^2)+3(5^1)+2(5^0)=3(125)+1(25)+3(5)+2=375+25+15+2=417


Answer by Solver92311(821) About Me  (Show Source):
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So




John

My calculator said it, I believe it, that settles it

From
I > Ø


Question 740671: what are the roman numeral symbols for 1, 5, 10, 50, 100, 1000, and 1000000
Answer by CoolRekt(53) About Me  (Show Source):
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I = 1
V = 5
X = 10
L = 50
C = 100
M = 1000
_M = 1000000
CoolRekt


Question 409092: What is the Roman Numeral for 658
Answer by CoolRekt(53) About Me  (Show Source):
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DCLVIII = 658
D = 500
C = 100
L = 50
VIII = 8
D + C + L + VIII = 500 + 100 + 50 + 8 = DCLVIII = 658
CoolRekt


Question 344723: what is the roman numeral for 3354?
Answer by CoolRekt(53) About Me  (Show Source):
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MMMCCCLIV = 3354
MMM = 3000
CCC = 300
L = 50
IV = 4
MMM + CCC + L + IV = 3000 + 300 + 50 + 4 = MMMCCCLIV = 3354
CoolRekt


Question 399887: what is the answer in roman numeral form 197,631,204
Answer by CoolRekt(53) About Me  (Show Source):
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This question is basically impossible to convert. There is I, _I, |I|, and |_I|, but nothing bigger than that. Make a question actually solvable like 800,000 or 3,963,745.
CoolRekt


Question 417284: What Is The Roman Numeral X?
Answer by CoolRekt(53) About Me  (Show Source):
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X = 10
CoolRekt


Question 779676: what is the roman numeral of 5000?

Answer by CoolRekt(53) About Me  (Show Source):
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V with an overline: _V = 5000
V = 5
V (5) x 1000 = _V = 5000
CoolRekt


Question 231343: what is the roman numeral for twenty-six thousand
Answer by CoolRekt(53) About Me  (Show Source):
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_X_X_V_I = all numerals overlined

XXVI = 26
XXVI (26) x 1000 = _X_X_V_I or 26000.
CoolRekt


Question 156248: How do you write 10.9 in Roman Numerals? I know how to write the 10, but am unsure of how the decimals are done.
Answer by CoolRekt(53) About Me  (Show Source):
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10.9 = X.IX
X = 10
.IX = .9
X + .IX = 10 + .9 = X.IX = 10.9
CoolRekt


Question 150443: How to represent 49 in Roman?
Answer by CoolRekt(53) About Me  (Show Source):
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XLIX = 49
XL = 40
IX = 9
XL + IX = 40 + 9 = XLIX = 49
CoolRekt


Question 144933: CDXLVII+XVI/IV
Answer by CoolRekt(53) About Me  (Show Source):
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CDXLVII = 447
XVI = 16
IV = 4
447 + 16 / 4
447 + 4
451 = CDLI in Roman numerals
CoolRekt


Question 144932: CDXLVII+XVI/IV
Answer by CoolRekt(53) About Me  (Show Source):
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CDXLVII = 447
XVI = 16
IV = 4
447 + 16 / 4
447 + 4
451 = CDLI in Roman numerals
CoolRekt


Question 144934: CDXLVII+XVI/IV
Answer by CoolRekt(53) About Me  (Show Source):
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CDXLVII = 447
XVI = 16
IV = 4
447 + 16 / 4
447 + 4
451 = CDLI in Roman numerals
CoolRekt


Question 142494: how do you express 1698 as a roman numeral?

Answer by CoolRekt(53) About Me  (Show Source):
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MDCXCVIII = 1698
M = 1000
D = 500
C = 100
XC = 90
V = 5
III = 3
M + D + C + XC + V + III = 1000 + 500 + 100 + 90 + 5 + 3 = MDCXCVIII = 1698
CoolRekt


Question 1122311: Essex-in-the-news-V2-2.pdf

Answer by CoolRekt(53) About Me  (Show Source):
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What's the purpose of this PDF file?
CoolRekt


Question 974262: WRITE 6936 AS A ROMAN NUMERAL
Answer by CoolRekt(53) About Me  (Show Source):
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MMMMMMCMXXXVI = 6936
MMMMMM = 6000
CM = 900
XXX = 30
V = 5
I = 1
MMMMMM + CM + XXX + V + I = 6000 + 900 + 30 + 5 + 1 = MMMMMMCMXXXVI = 6936
CoolRekt


Question 1169519: what is C stand for
Answer by CoolRekt(53) About Me  (Show Source):
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C = 100
CoolRekt


Question 1169518: what is L stand for
Answer by CoolRekt(53) About Me  (Show Source):
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L = 50
CoolRekt


Question 1169517: what is X stand for
Answer by CoolRekt(53) About Me  (Show Source):
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X = 10
CoolRekt


Question 1169516: what is V stand for
Answer by CoolRekt(53) About Me  (Show Source):
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V = 5
CoolRekt


Question 1169515: what is I stand for
Answer by CoolRekt(53) About Me  (Show Source):
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I = 1
CoolRekt


Question 123981: 12
Answer by CoolRekt(53) About Me  (Show Source):
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If 12 was in the Roman numeral section, then 12 is XII.
X = 10
II = 2
X + II = 10 + 2 = XII = 12
CoolRekt


Question 111766: what is the roman numeral for 90000.9
Answer by CoolRekt(53) About Me  (Show Source):
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XC.IX = 90000.9
XC = 90000
.IX = .9
XC + .IX = 90000 + .9 = XC.IX = 90000.9
CoolRekt


Question 209074: I am 22 years of age and have never found out how to count Roman numerals higher than 2 and I need help. I would greatly appreciate it.
Answer by CoolRekt(53) About Me  (Show Source):
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https://www.rapidtables.com/math/symbols/roman_numerals.html
This has a chart that goes higher than 2 and other types of numerals. This should help.
CoolRekt


Question 97571: What is the roman numeral for 127?
Answer by CoolRekt(53) About Me  (Show Source):
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CXXVII = 127
C = 100
XX = 20
V = 5
II = 2
C + XX + V + II = 100 + 20 + 5 + 2 = CXXVII = 127
CoolRekt


Question 88902: wot is roman numerals
Answer by CoolRekt(53) About Me  (Show Source):
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I = 1
V = 5
X = 10
L = 50
C = 100
D = 500
M = 1000
CoolRekt


Question 70042: I need help with roman numerals
Answer by CoolRekt(53) About Me  (Show Source):
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I = 1
V = 5
X = 10
L = 50
C = 100
D = 500
M = 1000
CoolRekt


Question 42864: will i ever have to use roman numerals
Found 2 solutions by ikleyn, CoolRekt:
Answer by ikleyn(53748) About Me  (Show Source):
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.

Practically  ALWAYS  you will use  arabic  numerals.


May be, two or three times in your life you will see roman numerals, if you visit some museum, like British Museum in London.



Answer by CoolRekt(53) About Me  (Show Source):
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Not really, only if you buy a clock that's in Roman numeral form.
CoolRekt


Question 42862: what are the roman numerals
Answer by CoolRekt(53) About Me  (Show Source):
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I=1
V=5
X=10
L=50
C=100
D=500
M=1000
CoolRekt


Question 42179: Round 413.74 to five five decimal places.
Thank you from Precious

Answer by CoolRekt(53) About Me  (Show Source):
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There might be a mistake here, maybe fix the question? Anyways, from 413.74, rounding it would be 413.74000.
CoolRekt


Question 42221: Which of of numbers are opposites?
A) x and x^-1
B) 2 and -2
C)12 and 21
D) 2 and 1/2

Answer by CoolRekt(53) About Me  (Show Source):
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Choice B is correct. It's like changing something to a negative. A is wrong since it just changes the exponent, not the base. C is wrong since it just swaps the numbers backwards, not making it a negative. D is wrong because 2 cannot be opposites of a fraction (especially if it isn't a negative).
CoolRekt


Question 9121: 19 =(the answers are VIV, XXI, XIX, or none of these.)
Found 2 solutions by The Troll Kid, CoolRekt:
Answer by The Troll Kid(22) About Me  (Show Source):
Answer by CoolRekt(53) About Me  (Show Source):
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XIX is correct
X = 10
IX = 9
10 + 9 = 19
X + IX = XIX = 19
CoolRekt


Question 6762: what is 4937 written in roman numerals?
Answer by The Troll Kid(22) About Me  (Show Source):

Question 14027: (IV) WHAT DOES THIS MEAN ALSO (IX) THANKS PLEASE I NEED THIS THANKS AGAIN
Found 2 solutions by ikleyn, CoolRekt:
Answer by ikleyn(53748) About Me  (Show Source):
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.

See this Wikipedia article

https://en.wikipedia.org/wiki/Roman_numerals



Answer by CoolRekt(53) About Me  (Show Source):
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IV is 4.
IX is 9.
CoolRekt


Question 9976: can you give me all the roman numerals
Found 2 solutions by ikleyn, CoolRekt:
Answer by ikleyn(53748) About Me  (Show Source):
You can put this solution on YOUR website!
.

See this Wikipedia article

https://en.wikipedia.org/wiki/Roman_numerals



Answer by CoolRekt(53) About Me  (Show Source):
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I = 1
V = 5
X = 10
L = 50
C = 100
D = 500
M = 1000
CoolRekt


Question 42062: What are the roman numerals?
Found 3 solutions by ikleyn, Alan3354, CoolRekt:
Answer by ikleyn(53748) About Me  (Show Source):
You can put this solution on YOUR website!
.

See this Wikipedia article

https://en.wikipedia.org/wiki/Roman_numerals



Answer by Alan3354(69443) About Me  (Show Source):
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What are the roman numerals?
------------
The simplest answer is "A waste of time."
----
I have seen people complain that their kids are forced to learn Arabic numbers.

Answer by CoolRekt(53) About Me  (Show Source):
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https://www.britannica.com/topic/Roman-numeral
This should help.
CoolRekt


Older solutions: 1..45, 46..90, 91..135, 136..180, 181..225