Question Bank › General Aptitude › Logarithms › ABC26GN2069ABC26GN2069 · Logarithms Subject: General Aptitude · Chapter: Logarithms · Exam: · Marks: · Difficulty:
The value of $\left(\log _{3} 4\right)\left(\log _{4} 5\right)\left(\log _{5} 6\right)\left(\log _{6} 7\right)\left(\log _{7}\right.$ 8) $\left(\log _{8} 9\right)$ is
Answer Explanation Given Expression $$\begin{aligned} & =\left(\frac{\log 4}{\log 3} \times \frac{\log 5}{\log 4} \times \frac{\log 6}{\log 5} \times \frac{\log 7}{\log 6} \times \frac{\log 8}{\log 7} \times \frac{\log 9}{\log 8}\right) \\ & =\frac{\log 9}{\log 3}=\frac{\log 3^{2}}{\log 3}=\frac{2 \log 3}{\log 3}=2 . \end{aligned}$$
Explanation as extracted from the printed page; notation may be imperfect.
← Previous in chapter · Chapter list · Next in chapter → Open in whiteboard · Browse this chapter in the app