Question

plz solve this math que.brainlieat yr ans awarded..spams will be reported .dont give ANSWER direct ok ​

Answer 1

Answer:

48 digits

Solution:

Let x = 3¹⁰⁰

Taking log on both sides

⇒ log x = log 3¹⁰⁰

Using Power rule log a^m = m.log a. The equation becomes

⇒ log x = 100 × log 3

Given: log 3 = 0.4771. Substituting in the above equation,

⇒ log x = 100 × 0.4771

⇒ log x = 47.71

⇒ log 3¹⁰⁰ = 47.71

Here,

• Characteristic = 47

• Mantisa = 71

No. of digits in 3¹⁰⁰ = Characteristic + 1

= 47 + 1

= 48

Therefore 3¹⁰⁰ has 48 digits.

Answer 2

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