Home
Class 12
MATHS
Suppose U denotes the number of digits i...

Suppose `U` denotes the number of digits in the number` (60)^(100)` and`M` denotes the number of cyphers after decimal, before a significant figure comes in `(8)^(-296)`. If the fraction U/M is expressed as rational number in the lowest term as `p//q` (given `log_(10)2=0.301` and `log_(10)3=0.477`) .
The value of q is

A

5

B

2

C

3

D

4

Text Solution

Verified by Experts

The correct Answer is:
C
Promotional Banner

Similar Questions

Explore conceptually related problems

Suppose U denotes the number of digits in the number (60)^(100) and M denotes the number of cyphers after decimal, before a significant figure comes in (8)^(-296) . If the fraction U/M is expressed as rational number in the lowest term as p//q (given log_(10)2=0.301 and log_(10)3=0.477 ) . The equation whose roots are p and q, is

If log2=0.301 and log3=0.477, find the number of integers in 5^(200)

If log2=0.301, the number of zeroes between the decimal point and the first significant figure of 2^(-34) is

If log2=0.301 and log3=0.477, find the number of integers in (ii) 6^(20)

Find the number of digits in 4^(2013) , if log_(10) 2 = 0.3010.

If log2=0.301 and log3=0.477, find the number of zeroes after the decimal is 3^(-500) .

Find the numbers of zeroes between the decimal point and first significant digit of (0.036)^16 , where log 2=0.301 and log 3=0.477 .

Given ,log2=0.301 and log3=0.477, then the number of digits before decimal in 3^12times2^8 is

The respective number of significant figures for the numbers 23.023, 0.0003 and 2.1xx10^(-3) are :

Let S denotes the antilog of 0.5 to the base 256 and K denotes the number of digits in 6^(10) (given log_(10)2=0.301 , log_(10)3=0.477 ) and G denotes the number of positive integers, which have the characteristic 2, when the base of logarithm is 3. The value of SKG is