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How I should resolve (1/(2))^x=16 without the calculator?

Guest May 4, 2017

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 #1
avatar+19376 
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How I should resolve (1/(2))^x=16 without the calculator?

 

\(\begin{array}{|rcll|} \hline \left(\frac12 \right)^x &=& 16 \\ \left(\frac12 \right)^x &=& 2^4 \\ \left(\frac12 \right)^x &=& \frac{1}{2^{-4}} \\ \left(\frac12 \right)^x &=& \left(\frac12 \right)^{-4} \\ x &=& -4 \\ \hline \end{array} \)

 

laugh

heureka  May 4, 2017
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 #1
avatar+19376 
+3
Best Answer

How I should resolve (1/(2))^x=16 without the calculator?

 

\(\begin{array}{|rcll|} \hline \left(\frac12 \right)^x &=& 16 \\ \left(\frac12 \right)^x &=& 2^4 \\ \left(\frac12 \right)^x &=& \frac{1}{2^{-4}} \\ \left(\frac12 \right)^x &=& \left(\frac12 \right)^{-4} \\ x &=& -4 \\ \hline \end{array} \)

 

laugh

heureka  May 4, 2017

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