<img src="https://tex.z-dn.net/?f=%20%7B2%7D%5E%7Bn%20%7D%20%20%3D%20225" id="TexFormula1" title=" {2}^{n } = 225" alt=" {2}^{n

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3 years ago

10

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

2 answers:

mixas84 [53]3 years ago

7 0

N = 7.81 (round to 2 decimal places)

Elanso [62]3 years ago

5 0

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

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