If ${\log _4}5 = a$ and ${\log _5}6 = b,$ then ${\log _3}2$ is equal to

  • A

    ${1 \over {2a + 1}}$

  • B

    ${1 \over {2b + 1}}$

  • C

    $2ab + 1$

  • D

    ${1 \over {2ab - 1}}$

Similar Questions

If ${\log _{0.3}}(x - 1) < {\log _{0.09}}(x - 1),$ then $x$ lies in the interval

The number of solution $(s)$ of the equation $log_7(2^x -1) + log_7(2^x -7) = 1$, is -

If ${\log _{1/\sqrt 2 }}\sin x > 0,x \in [0,\,\,4\pi ],$ then the number of values of $x$ which are integral multiples of ${\pi \over 4},$ is

For $y = {\log _a}x$ to be defined $'a'$ must be

  • [IIT 1990]

Solution set of inequality ${\log _{10}}({x^2} - 2x - 2) \le 0$ is