Question

Solve the question below
2 ^x=32
x=?

Answer 1

x=5 is the answer

Explanation:

Given:

`2^(x)=32`

To find:

x = ?

Solution:

Given is an exponential equation in which x is the power of constant now when we will solve this equation then according to the rules of mathematics in which an exponential equation is present i.e.

Let us we have an exponential equation

`a^(x)=a^(y)`

Then

x = y

Now for the given question we have

`2^(x)=32`

Now

32=2*2*2*2*2

32=
`2^(5)`

so the given becomes

`2^(x)=2^(5)`

Now by exponential rule explained above

x = 5