NDA 2018
- Exam
- NDA
- Year
- 2018
- Subject
- Mathematics
- Chapter
- Basics of Mathematics
NDA 2018 · Mathematics · Basics of Mathematics
What is the value of _9 27+ _8 32 ?
What is the value of ?
Options
- A7/2
- B19/6
- C4
- D7
Correct answer
B. 19/6
Step-by-step solution
\begin{aligned} & \begin{aligned} & \log _9 27+\log _8 32 \\ &=\log _9 3^3+\log _8 2^5 \\ &=3 \log _9 3+5 \log _8 2 \\ & 3 \log _{\left(3^2\right)} 3+5 \log _{\left(2^3\right)} 2\end{aligned} \\ & \frac{3}{2} \log _3 3+\frac{5}{3} \log _2 2 \\ & \frac{3}{2}+\frac{5}{3}=\frac{19}{6}\end{aligned}$