Using the graph of f(x) = log2x below, approximate the value of y in the equation 2^2y = 6. log base 2 graph

Solution:

f(x) = log 2x

It can be written as

y = log 2x

Here 2y = x …. (1)

2^2y = 6

(2^y)² = 6 …. (2)

So we get

x² = 6

x = 2.45

Therefore, the approximate value of y is 1.2928.

Using the graph of f(x) = log2x below, approximate the value of y in the equation 2^2y = 6. log base 2 graph

Summary:

Using the graph of f(x) = log2x below, approximate the value of y in the equation 2^2y = 6 is 1.2928.