Question

If log 87.5 = 1.9421, then the number of digits in (875)^10 is
1) 30
2) 29
3) 20
4)19​

Answer 1

Answer:

30 is the answer

Step-by-step explanation:

log 875 power 10 as 10 log 875

10 log 875 ÷10

10 ( log 87.5+log 10)

10(2.9421)

29.421

29+1=30

Answer 2

Answer:

The number of digits in (875)^10  = 30.

Step-by-step explanation:

Given: log87.5 = 1.9421.

To find the number of digits in (875)^10.

X = (875)^10

   = (87.5 x 10)^10

Therefore, log10(X) = 10(log10(87.5 + 1))

                                = 10(1.9421 + 1)

                                = 10(2.9421)

                                = 29.421

X = antilog(29.421)

Therefore, number of digits in X = 30.

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