Powers 3

2 to the power of n divided by 4 to the power of -3 equal 4. What is the vaule of n?

Correct answer:

n =  0.0313

Step-by-step explanation:

$$\begin{gathered} 2^{n\mathrm{/}{4}^{-3}}=4 \\ n\mathrm{/}{4}^{-3}\cdot \ln (2)=\ln (4) \\ n={\displaystyle \frac{\ln (4)}{\ln (2)\cdot 4^3}}={\displaystyle \frac{1}{32}}=0.0313 \end{gathered}$$

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