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

If $\log _{30} 3=a$ and $\log _{30} 5=b,$ then find the value of $\log _{30} 8.$

If $\frac{\log _{2} a}{2}=\frac{\log _{3} b}{3}=\frac{\log _{4} c}{4}$ and $a^{1 / 2} \cdot b^{1 / 3} \cdot c^{1 / 4}=24$,then:

$5^{\sqrt{\log _{5} 7}} - 7^{\sqrt{\log _{7} 5}}$

If $3^{x-2}=5$ and $\log_{10} 2=0.30103, \log_{10} 3=0.4771$,then $x=$

Difficult
View Solution

If $x = \log_{4/3}(1/2)$ and $y = \log_{1/2}(1/3)$,then

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