Question

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

Answer 1

2^2y=4

Answer 2

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

Answer 3

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

Answer 4

so the answer would be 1

Answer 5

yes!

Answer 6

thank you so much

Answer 7

:)