A. 6

B. 8

C. 7

D. 9

Hence answer is option C

A. 1024

B. 512

C. 500

D. 2048

So we have log

Hence answer is option A

A. 1024

B. 512

C. 500

D. 2048

We have log√7/log7 = log7^{1/2}/log7 = 1/2(log7)/log7 = 1/2

Hence answer is option A

Hence answer is option A

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A. 6

B. 4

C. 1

D. 2

Solution: We have 2log_{2}x – log_{2} (x – 2) = 3

⇒ log_{2}x^{2} – log_{2} (x – 2) = 3

⇒ log_{2}(x^{2}/x-2) = 3

⇒ log_{2}(x^{2}/x-2) = 2^{3} = 8

⇒ x^{2} = 8(x-2)

⇒ x^{2} - 8x + 16 = 0

⇒ (x-4)^{2} = 0

⇒ x=4

Hence answer is option B

⇒ log

⇒ log

⇒ log

⇒ x

⇒ x

⇒ (x-4)

⇒ x=4

Hence answer is option B

A. 12

B. 11

C. 13

D. 14

We have log 2

Now here the integral part is called the characteristic of logarithm and the fractional part is called the mantissa. The number of digits is always one more than the value of characteristic.

The number of digits in 2

Hence answer is option C