The value of $\log _{3}4 \cdot \log _{4}5 \cdot \log _{5}6 \cdot \log _{6}7 \cdot \log _{7}8 \cdot \log _{8}9$ is

If $\log_{5} a \cdot \log_{a} x = 2$,then $x$ is equal to

What is the number of solutions for the equation $\log_4(x - 1) = \log_2(x - 3)$?

What is the number of real values of the parameter $k$ for which the equation $({\log _{16}}x)^2 - {\log _{16}}x + {\log _{16}}k = 0$ has exactly one solution,given that the coefficients are real?

If $x = \log_{5}(1000)$ and $y = \log_{7}(2058)$,then:

If $a < 1$ and $2 \operatorname{Sinh}^{-1}\left(\frac{a}{\sqrt{1-a^2}}\right)=\log \left(\frac{1+x}{1-x}\right)$,then $x=$