Which logarithmic graph can be used to approximate the value of y in the equation 2^y = 5?

Solution:

The equation given is

2^y = 5

By taking log₂ on both sides

log₂ 2 + log₂ y = log₂ 5

From the graph

2 + log₂ y = 2.3

So we get

log₂ y = 2.3 - 2

log₂ y = 0.3

Therefore, log₂ y = 0.3 can be used to approximate the value of y. The approximate value of y is 2.32

Which logarithmic graph can be used to approximate the value of y in the equation 2^y = 5?

Summary:

log₂ y = 0.3 can be used to approximate the value of y in the equation 2^y = 5. The approximate value of y is 2.32