Math, asked by jacksparrow69, 1 day ago

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

Answers

Answered by abhijitkhan882
0

Answer:

3.7914691943 is value of x

Answered by amitnrw
0

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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