Question

} = 225" align="absmiddle" class="latex-formula">
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Answer 1

N = 7.81 (round to 2 decimal places)

Answer 2

Answer:

n ≈ 7.81 ( to 2 dec. places )

Step-by-step 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 = $\frac{ln225}{ln2}$ ≈ 7.81