Question

Exponents Find x , 2×= 32 ​

Answer 1

To find : value of exponent $x$

Given : $2^{x} = 32$

Solution:  

• To find the value of exponent $x$  we find  factors of $32$

        $32 = 16 \times 2$

             $\\ = 8\times2 \times2\\ \\ = 4\times2 \times2 \times 2\\\\ =2\times 2\times2\times 2\times2$

• Therefore  $5$ multiples of 2 gives us 32 .

      Hence exponent value of $x$ is $5$ i.e.$2^{5} = 32$.

Answer 2

Given,

$2^{x} =32$

We have to find the value of $x$

First we have to write the factors of $32$

$32=16\times2$

$32=8\times2\times2$

$32=4\times2\times2\times2$

$32=2\times2\times2\times2\times2$

From this we have to write $32=2^{5}$

According to the question,

$2^{x}=2^{5}$

If bases are same the powers are equal

So,

$x=5$

Therefore,  the value of $x$ is $5$.