Question

if log 2=0.3010 then number of in 2^2022
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Answer 1

Answer:

610

Step-by-step explanation:

We know that by default logx=log₁₀x i.e. by default the base is always 10 unless not mention

log2=log₁₀2=0.3010

Let y=2²⁰²²

take log on both the sides

log₁₀y = log₁₀2²⁰²²

log₁₀y = 2022 log₁₀2

log₁₀y = 2022 × 0.3010

log₁₀y = 608.622 ≈ 609

y = 10⁶⁰⁹

Therefore y which is equal to 2²⁰²² will have 609 + 1 numbers in it i.e. 610