itsmichelle29
  • itsmichelle29
Using the graph of f(x) = log2x below, approximate the value of y in the equation 22y = 4.
Mathematics
  • Stacey Warren - Expert brainly.com
Hey! We 've verified this expert answer for you, click below to unlock the details :)
SOLVED
At vero eos et accusamus et iusto odio dignissimos ducimus qui blanditiis praesentium voluptatum deleniti atque corrupti quos dolores et quas molestias excepturi sint occaecati cupiditate non provident, similique sunt in culpa qui officia deserunt mollitia animi, id est laborum et dolorum fuga. Et harum quidem rerum facilis est et expedita distinctio. Nam libero tempore, cum soluta nobis est eligendi optio cumque nihil impedit quo minus id quod maxime placeat facere possimus, omnis voluptas assumenda est, omnis dolor repellendus. Itaque earum rerum hic tenetur a sapiente delectus, ut aut reiciendis voluptatibus maiores alias consequatur aut perferendis doloribus asperiores repellat.
katieb
  • katieb
I got my questions answered at brainly.com in under 10 minutes. Go to brainly.com now for free help!
itsmichelle29
  • itsmichelle29
2^2y=4
Michele_Laino
  • Michele_Laino
if we take the logarithm with base 2 of your equation, we get: \[\Large \begin{gathered} {2^{2y}} = 4 \hfill \\ \hfill \\ 2y{\log _2}2 = {\log _2}4 \hfill \\ \hfill \\ 2y = {\log _2}4 \hfill \\ \end{gathered} \]
Michele_Laino
  • Michele_Laino
now, using the properties of logarithm in any base, we can write: \[\Large {\log _2}4 = {\log _2}\left( {{2^2}} \right) = 2{\log _2}2\]

Looking for something else?

Not the answer you are looking for? Search for more explanations.

More answers

itsmichelle29
  • itsmichelle29
so the answer would be 1
Michele_Laino
  • Michele_Laino
yes!
itsmichelle29
  • itsmichelle29
thank you so much
Michele_Laino
  • Michele_Laino
:)

Looking for something else?

Not the answer you are looking for? Search for more explanations.