Question

If log₁₀ 2 = 0.3010 then log₂ 10 is ______
1. 0.3322
2. 3.2320
3. 3.3222
4. 5

Answer 1

Correct Answer - Option 3 : 3.3222

Given:

If log10 2 = 0.3010

Formula used:

log_ba = 1/log_ab

Calculation:

If log10 2 = 0.3010

According to the question,

logba = 1/logab

⇒ log₂10 = 1/log₁₀2

⇒ 1/0.3010

⇒ 10000/3010

⇒ 1000/310

⇒ log₂10 = 3.3222

∴ The value of log2 10 is 3.3222.