$x = \log \left( \frac{1}{y} + \sqrt{1 + \frac{1}{y^2}} \right) \Rightarrow y$ ની કિંમત શોધો.

  • A
    $\tanh x$
  • B
    $\operatorname{coth} x$
  • C
    $\operatorname{sech} x$
  • D
    $\operatorname{cosech} x$

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જો $n = 1983!$ હોય,તો પદાવલિ $\frac{1}{\log_2 n} + \frac{1}{\log_3 n} + \frac{1}{\log_4 n} + \dots + \frac{1}{\log_{1983} n}$ ની કિંમત શોધો.

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જો $2 \log (x+1)-\log (x^{2}-1)=\log 2$ હોય,તો $x=$

$\log _{3}4 \cdot \log _{4}5 \cdot \log _{5}6 \cdot \log _{6}7 \cdot \log _{7}8 \cdot \log _{8}9$ ની કિંમત શોધો.

$\text{જો } \log _{0.2}(x-1) > \log _{0.04}(x+5) \text{ હોય, તો }$

$\log_{4}(x - 1) = \log_{2}(x - 3)$ ના ઉકેલોની સંખ્યા કેટલી છે?

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