Question

If 4.22x =16 then value of x is equal to​

Answer 1

Given  :  4.22x  = 16

or

4.2²ˣ = 16

To Find : Value of  x

Solution:

4.22x  = 16

=> 422x/100  = 16

=> 422x  = 1600

=> x = 1600/422

=> x = 800/211

                      3.791

        211    ) 800.000  (

                   633

                  _____

                  1670

                  1477

               ______

                   1930

                   1899

                   _____

                       310

                       211

                       ____

                          99

Hence 800/211 ≈ 3.791

x =  800/211 ≈ 3.791

If Question is :

4.2²ˣ = 16

=> 2²ˣ = 16/4

=> 2²ˣ = 4

=> 2²ˣ = 2²

Bases are equal hence equate the power

=> 2x = 2

=> x = 1

Value of x is 1

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Answer 2

SOLUTION

CORRECT QUESTION

Correct question is referred to the link :

https://brainly.in/question/48637440

$\sf If \: \: 4. {2}^{2x} = 16 \: then \: value \: of \: x \: is$

a. 2

b. - 1

c. 1

d. None of these

EVALUATION

Here the given equation is

$\sf 4. {2}^{2x} = 16$

We find the value of x as below

$\sf 4. {2}^{2x} = 16$

$\sf \implies \: 4. {2}^{2x} = 4.4$

$\sf \implies \: {2}^{2x} = 4$

$\sf \implies \: {2}^{2x} = {2}^{2}$

$\sf \implies \: 2x= 2$

$\sf \implies \: x= 1$

FINAL ANSWER

Hence the correct option is c. 1

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