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MOTION-BASIC MATHEMATIC & LOGARITHM -Exercise - 3
- If (loga)/(b-c) = (logb)/(c-a) = (logc)/(a-b), then prove that a^(a)...
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- If x = log(3) 4 " and " y = log(5) 3, find the value of log(3) 10 " an...
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- If k^(log2 5)=16 , find the value of k^((log2 5)^2)
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- If log(10) (x^(2) - 12x + 36) = 2 , find x
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- 9^(1+log x)- 3^(1+log x) - 210 = 0 , where base of log is 3.
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- Solve for x: log(4) log(3) log(2) x = 0.
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- If log(e) log(5) [sqrt(2x - 2) +3 ] = 0
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- Let a and b be real numbers greater than 1 for which there exists a po...
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- Find the square of the sum of the roots of the equation log(3)x.log(...
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- Find 'x' satisfying the equation 4^(log(10) x + 1) - 6^(log(10)x) - ...
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- Given log(2) a = s, log(4) b = s^(2)" and " log(c^(2)) (8) = 2/(s^(3) ...
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- prove that a^x - b^y = 0 where x = sqrt(loga b ) and y = sqrt(logb ...
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- If x ,\ y >=0,(log)y x+(log)x y=(10)/3\ a n d\ x y=144 ,\ t h e n(x...
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- log(x+1)(x^2+x-6)^2=4
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- Solve the equation for x : log4+(1+1/(2x))log3=log(3x+27)
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- The real x and y satisfy log(8) x + log(4) y^(2) = 5 " and " log(8) y ...
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- If x=1+loga bc, y=1+logb ca, z=1+logc ab then prove that xyz=xy+yz+z...
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- Find the product of the positive roots of the equation sqrt((2008))...
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- Solve the following linear equations (i) |x| + 2 = 3 (ii) |x| - 2x...
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- Let d = log(1//B) (C^(nA)), where A is the value of 'x' satisfying the...
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