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VGS PUBLICATION-BRILLIANT-REAL NUMBERS-EXERCISE
- Evaluate each of the following in terms of x and y, if it is given x=...
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- Expand the following. (i) log 1000
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- Expand the following. (ii) log[128/625]
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- Expand the following. (iii) log x^2y^3z^4
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- Expand the following. log((p^2q^3)/r^4)
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- Expand the following. (v) log sqrt((x^3)/(y^2))
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- If x^2+y^2=25xy. then prove that 2log(x+y)=3log3+logx+logy.
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- If log((x+y)/(3))=1/2(logx+logy), then find the values of (x)/(y)+(y)/...
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- If (2.3)^x=(0.23)^y=1000 then find the value of (1)/(x)-(1)/(y).
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- If 2^(x+1)=3^(1-x) then find the value of x.
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- Is (i) log 2 is rational or irrational ? Justify your answer.
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- Is (ii) log 100 is rational or irrational ? Justify your answer.
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- Can the number 6^n, n being a natural number, end with the digit 5 ? G...
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- Is 7xx5xx3xx2+3 a composite number ? Justify your answer.
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- Prove that (2sqrt3+sqrt5) is an irrational number. Also check whether ...
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- If x^2 + y^2 = 6xy , prove that 2 log (x + y) = logx + logy + 3 log 2
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- Find the number of digit in 4^(2013), if log(10)2=0.3010.
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- Insert 4 rational numbers between 3/4 and 1 without using (a+b)/(2) fo...
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- If the prime factorization of a natural number (n) is 2^2xx3^2xx5^2xx7...
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- Find the value of log(5)125.
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