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  • Question 1
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    \begin{equation}\text { If } \log _{4}(3-x)+\log _{0.25}(3+x)=\log _{4}(1-x)+\log _{0.25}(2 x+1) it has \end{equation}

  • Question 2
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    \begin{equation}\operatorname{Let} \log _{e}\left(\frac{a+b}{2}\right)=\frac{1}{2}\left(\log _{e} a+\log _{e} b\right) \cdot \text { If } a=4, \text { then the value of } b \text { would be }\end{equation}

  • Question 3
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    If 3=k.2r and 15=k.4r, then the value of r will be

  • Question 4
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    If 6(logx2−log4x)+7=0, then find the values of x

  • Question 5
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    \begin{equation}\text { If } \ln \left(\frac{a+b}{3}\right)=\left(\frac{\ln a+\ln b}{2}\right), \text { then } \frac{a}{b}+\frac{b}{a} \text { is equal to }\end{equation}

  • Question 6
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    If log2 x+log2y ≥ 6, then the least value of x+y is

  • Question 7
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    Solve for x, log69−log927+log8x=log64x−log64

  • Question 8
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    If \(x>0\) and \(y>0,\) then the values of \(x\) and \(y\) from \(\log x y=\log \frac{x}{y}+2 \log 2=2\) are

  • Question 9
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    The set of all solutions of the inequality \(\left(\frac{1}{2}\right)^{x^{2}-2 x}<\frac{1}{4}\) is

  • Question 10
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    If log3x+log3y=2+log32 and log3(x+y)=2, then the values of x and y are

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