Aptitude : : Logarithms Questions & Answers
- The value of $\dfrac{\log_{\text{a}}{\text{n}}}{\log_{\text{ab}}{\text{n}}}$ is given by?
A. 1 + loga b
B. 1 + logb a
C. logb a
D. loga b
- log10 10 + log10 100 + log10 1000 + log10 10000 + log10 100000 is equal to?
A. 14 log10 100
B. 15
C. log 11111
D. log10 1111
- If log8 x + log4 x + log2 x = 11, then the value of x is?
A. 2
B. 4
C. 8
D. 64
- The value of $\dfrac{1}{\log_{({\text{p/q}})}\text{x}}$ + $\dfrac{1}{\log_{({\text{q/r}})}\text{x}}$ + $\dfrac{1}{\log_{({\text{r/p}})}\text{x}} $ is:
A. 0
B. 1
C. 2
D. 3
- $~~~\dfrac{1}{\log_{\text a}(\text {bc} ) + 1}$ + $\dfrac{1}{ \log_{\text b}(\text {ac} ) + 1}$ + $\dfrac{1}{ \log_{\text c}(\text {ab} ) + 1}$ is equal to:
A. 1
B. 2
C. $\dfrac{3}{2}$
D. 3