Question 51

If $$\log 2 = 0.30103$$, find the number of digits in $$2^{56}$$.

Solution

Given : $$\log2=0.30103$$

Let $$x=2^{56}$$

=> $$\log(x)=\log(2^{56})$$

=> $$\log(x)=56\log(2)$$

=> $$\log(x)=56\times0.30103=16.85$$

If characteristic is 16, then number of digits in $$2^{56}$$ is 17

=> Ans - (C)

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