For $x>0,$ if $y=\frac{10^{\log _{10} x}}{x^{2}}$ and $x=y^{a},$ then $a=$

  • A
    $1$
  • B
    $-1$
  • C
    $0$
  • D
    $2$

Explore More

Similar Questions

$\frac{3+\log _{10} 343}{2+\frac{1}{2} \log _{10} \left(\frac{49}{4}\right)+\frac{1}{3} \log _{10} \left(\frac{1}{125}\right)}=$

If $\log 2=x, \log 3=y$ and $\log 7=z,$ then the value of $\log (4 \sqrt[3]{63})$ is

If $\log _{10}\left[98+\sqrt{x^{2}-12 x+36}\right]=2,$ then $x=$

If $\log (x-y) - \log 5 - \frac{1}{2} \log x - \frac{1}{2} \log y = 0$,then find the value of $\frac{x}{y} + \frac{y}{x}$.

If $\frac{\log x}{2} = \frac{\log y}{3} = \frac{\log z}{5}$,then $yz$ in terms of $x$ is

Vedclass Products

For Students

Vedclass Test Series

Mock tests in real JEE/NEET style with performance analysis. 5-day free trial.

Start Free Trial
For Teachers

Exam Paper Generator

Generate Set A/B/C/D exam papers from 7.5L+ questions in 2 minutes. 3 chapters free.

Try Free
For Institutes

Online Exam Module

Live online exams with unlimited students, 360° analytics & white-label branding.

See Demo