MCQ
If ${\log _5}a.{\log _a}x = 2,$then $x$ is equal to
- A$125$
- B${a^2}$
- ✓$25$
- DNone of these
$ \Rightarrow $ $x = {5^2} = 25$.
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$(A)$ $\frac{1}{\mathrm{PS}}+\frac{1}{\mathrm{ST}}<\frac{2}{\sqrt{\mathrm{QS} \times \mathrm{SR}}}$
$(B)$ $\frac{1}{\mathrm{PS}}+\frac{1}{\mathrm{ST}}>\frac{2}{\sqrt{\mathrm{QS} \times \mathrm{SR}}}$
$(C)$ $\frac{1}{\mathrm{PS}}+\frac{1}{\mathrm{ST}}<\frac{4}{\mathrm{QR}}$
$(D)$ $\frac{1}{\mathrm{PS}}+\frac{1}{\mathrm{ST}}>\frac{4}{\mathrm{QR}}$