What is the value of n if 2 to the power of n equals 20000?

Answer 1

2ⁿ = 20000

→ log(2ⁿ) = log(20000)

→ n log(2) = log(20000)

→ n = log(20000)/log(2)

You can use logs to any base you like as long as you use the same base for each log

→ n ≈ 14.29

Answer 2

It is approx 14.29