Answer:
n ≈ 7.81 ( to 2 dec. places )
Step-by-step explanation:
Given
[tex]2^{n}[/tex] = 225
Take the log to any base of both sides
Taking the ln of both sides
ln([tex]2^{n}[/tex]) = ln 225, that is
n ln 2 = ln 225 ( divide both sides by ln 2 )
n = [tex]\frac{ln225}{ln2}[/tex] ≈ 7.81
