Question

what power of 2 is 32​

Answer 1

Answer:

5 is power of 2 is 32.

because 5×5×5×5×5=32

Answer 2

The 5th power of 2 is equal to 32.

Given:

Some power of 2 is equal to 32.

To Find:

The power of 2.

Solution:

Let the power of 2 be 'x'.

→ The basic properties of logarithms are:

(i) log (pq) = log(p) + log(q)

(ii) log (p/q) = log(p) - log(q)

(iii) log (p)ⁿ = n×log(p)

→ The value of 2 to the power 'x' is equal to 32.

                                            ∴ 2ˣ = 32

→ Taking logarithms on both sides:

                                       ∴ log(2ˣ) = log(32)

                                       ∴ log(2)ˣ = log(2)⁵

                                     ∴ x log(2) = 5 log(2)

→ Cancelling logarithms on both sides:

                                    ∵ x log(2) = 5 log(2)

                                                ∴ x = 5

Therefore the value of 'x' comes out to be equal to 5. Hence it can be said that the 5th power of 2 is equal to 32.

#SPJ2