{2}^(n ) = 225 ​

Question

`{2}^(n ) = 225`
​

Answer 1

N = 7.81 (round to 2 decimal places)

Answer 2

n ≈ 7.81 ( to 2 dec. places )

Explanation:

Given

`2^(n)` = 225

Take the log to any base of both sides

Taking the ln of both sides

ln(
`2^(n)`) = ln 225, that is

n ln 2 = ln 225 ( divide both sides by ln 2 )

n =
`(ln225)/(ln2)` ≈ 7.81