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