Let N - 45-45-45-45-35-35-35-65-65-65-65-65-65-25-25 then the value of log 2N -

The correct option is D 12 N= 4 ^ 5 + 4 ^ 5 + 4 ^ 5 + 4 ^ 5 / 3 ^ 5 + 3 ^ 5 + 3 ^ 5 . 6 ^ 5 + 6 ^ 5 + 6 ^ 5 + 6 ^ 5 + 6 ^ 5 + 6 ^ 5 / 2 ^ 5 + 2 ^ 5 ...

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Byju's Answer

Standard XII

Mathematics

Theorems on Integration

Let N = 45+...

Question

Let N = $\frac{4^{5} + 4^{5} + 4^{5} + 4^{5}}{3^{5} + 3^{5} + 3^{5}} \cdot \frac{6^{5} + 6^{5} + 6^{5} + 6^{5} + 6^{5} + 6^{5}}{2^{5} + 2^{5}}$ then the value of ${log}_{2} N$ =

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Solution

The correct option is D $12$
$N = \frac{4^{5} + 4^{5} + 4^{5} + 4^{5}}{3^{5} + 3^{5} + 3^{5}} \cdot \frac{6^{5} + 6^{5} + 6^{5} + 6^{5} + 6^{5} + 6^{5}}{2^{5} + 2^{5}} = \frac{4. 4^{5}}{3. 3^{5}} \cdot \frac{6. 6^{5}}{2. 2^{5}} = (\frac{4}{3} \times {\frac{6}{2})}^{6} = 4^{6} {log}_{2} N = {log}_{2} 4^{6} = {log}_{2} 2^{12} = 12$

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Similar questions

Q. Let

N = \frac{4^{5} + 4^{5} + 4^{5} + 4^{5}}{3^{5} + 3^{5} + 3^{5}} . \frac{6^{5} + 6^{5} + 6^{5} + 6^{5} + 6^{5} + 6^{5}}{2^{5} + 2^{5}}

, then the value of

{log}_{2} N =

Q. If

\frac{4^{5} + 4^{5} + 4^{5} + 4^{5}}{2^{5} + 2^{5}} \times \frac{6^{5} + 6^{5} + 6^{5} + 6^{5} + 6^{5} + 6^{5}}{3^{5} + 3^{5} + 3^{5}} = 8^{n}

, then n is:

Class intervals / Frequency

15-25. 6

25-35. 11

35-45 . 7

45-55. 4

55-65. 4

65-75. 2

75-85 . 1

Find the measure of $∠ D C E$ and hence $∠$ DEC

Q. Find the mean, using direct method:

Class	25-35	35-45	45-55	55-65	65-75
Frequency	6	10	8	12	4

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Let N = 45+45+45+4535+35+35⋅65+65+65+65+65+6525+25 then the value of log2N =

The correct option is D 12N=45+45+45+4535+35+35⋅65+65+65+65+65+6525+25=4.453.35⋅6.652.25=(43×62)6=46log2N=log246=log2212=12

Let N = $\frac{4^{5} + 4^{5} + 4^{5} + 4^{5}}{3^{5} + 3^{5} + 3^{5}} \cdot \frac{6^{5} + 6^{5} + 6^{5} + 6^{5} + 6^{5} + 6^{5}}{2^{5} + 2^{5}}$ then the value of ${log}_{2} N$ =