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

1. itsmichelle29

2^2y=4

2. Michele_Laino

if we take the logarithm with base 2 of your equation, we get: $\Large \begin{gathered} {2^{2y}} = 4 \hfill \\ \hfill \\ 2y{\log _2}2 = {\log _2}4 \hfill \\ \hfill \\ 2y = {\log _2}4 \hfill \\ \end{gathered}$

3. Michele_Laino

now, using the properties of logarithm in any base, we can write: $\Large {\log _2}4 = {\log _2}\left( {{2^2}} \right) = 2{\log _2}2$

4. itsmichelle29

so the answer would be 1

5. Michele_Laino

yes!

6. itsmichelle29

thank you so much

7. Michele_Laino

:)

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