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itsmichelle29
 one year ago
Using the graph of f(x) = log2x below, approximate the value of y in the equation 22y = 4.
itsmichelle29
 one year ago
Using the graph of f(x) = log2x below, approximate the value of y in the equation 22y = 4.

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Michele_Laino
 one year ago
Best ResponseYou've already chosen the best response.1if we take the logarithm with base 2 of your equation, we get: \[\Large \begin{gathered} {2^{2y}} = 4 \hfill \\ \hfill \\ 2y{\log _2}2 = {\log _2}4 \hfill \\ \hfill \\ 2y = {\log _2}4 \hfill \\ \end{gathered} \]

Michele_Laino
 one year ago
Best ResponseYou've already chosen the best response.1now, using the properties of logarithm in any base, we can write: \[\Large {\log _2}4 = {\log _2}\left( {{2^2}} \right) = 2{\log _2}2\]

itsmichelle29
 one year ago
Best ResponseYou've already chosen the best response.0so the answer would be 1

itsmichelle29
 one year ago
Best ResponseYou've already chosen the best response.0thank you so much
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