Question

Using the graph of f(x) = log2x below, approximate the value of y in the equation 22y = 5.

Answer 1

y = 1.16

Explanation:

Take the natural logarithm of both sides of the equation to remove the variable from the exponent.

Answer 2

the correct question is
Using the graph of f(x) = log2x below, approximate the value of y in the equation 2^(2y) = 5

we have
2^(2y) = 5--------------> applying base 2 logarithm both members
2y*log2(2)=log2(5)
log2(2)=1
then
2y=log2(5)
y=[log2(5)]/2

using the graph
for x=5 the approximate value of log2(5) is 2.3
see the attached figure
so
y=[log2(5)]/2--------> y=[2.3]/2----------> y=1.15

the answer is
the approximate value of y is 1.15