The number ${\log _2}7$ is
The number ${\log _2}7$ is
- [IIT 1990]
- A
An integer
- B
A rational number
- C
An irrational number
- D
A prime number
Similar Questions
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${\log _4}18$ is
${\log _4}18$ is
If ${\log _{10}}2 = 0.30103,{\log _{10}}3 = 0.47712,$ the number of digits in ${3^{12}} \times {2^8} $ is
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If ${a^2} + 4{b^2} = 12ab,$ then $\log (a + 2b)$ is
If ${a^2} + 4{b^2} = 12ab,$ then $\log (a + 2b)$ is
If $3^x=4^{x-1}$, then $x=$
$(A)$ $\frac{2 \log _3 2}{2 \log _3 2-1}$ $(B)$ $\frac{2}{2-\log _2 3}$ $(C)$ $\frac{1}{1-\log _4 3}$ $(D)$ $\frac{2 \log _2 3}{2 \log _2 3-1}$
If $3^x=4^{x-1}$, then $x=$
$(A)$ $\frac{2 \log _3 2}{2 \log _3 2-1}$ $(B)$ $\frac{2}{2-\log _2 3}$ $(C)$ $\frac{1}{1-\log _4 3}$ $(D)$ $\frac{2 \log _2 3}{2 \log _2 3-1}$
- [IIT 2013]