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CENGAGE-LOGARITHM AND ITS PROPERTIES-Exercise 1.3
- Write each of the following as single logarithm: (a) 1+ log(2) 5" ...
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- Prove that 1/3 lt log(20) 3 lt 1/2.
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- Prove that log(7) log(7)sqrt(7sqrt((7sqrt7))) = 1-3 log(7) 2.
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- If log(10) x = y ," then find "log(1000)x^(2)" in terms of " y.
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- If log(7) 2 = m, then find log(49) 28 in terms of m.
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- Find the value of log(2) (1/(7^(log(7) 0.125))).
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- Find the value of (4/(log(2)(2sqrt3))+2/(log(3) (2sqrt3)))^(2).
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- If x and y are positive real numbers such that 2log(2y - 3x) = log ...
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- If a^(2) + b^(2) = 7 ab," prove that " log((a+b)/3) = 1/2 (log a + lo...
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- If log(b) n = 2 and log(n) 2b = 2, then find the value of b.
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- If log(2) x xx log(3) x = log(2) x + log(3) x, then find x .
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- If y^2=xz and a^x=b^y=c^zthen prove that logb (a)= logc (b)
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- Prove the following identities: (a) (log(a) n)/(log(ab) n) = 1+ log(...
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- Compute log(ab)(root(3)a//sqrtb)" if " log(ab) a = 4.
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- If a^(x) = b^(y) = c^(z) = d^(w)," show that " log(a) (bcd) = x (1/y+...
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- Find the value of (1/49)^(1+log(7)2) + 5^(-log((1//5))(7).
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