Question

if 16^2m=4^3m+4 .find the value of m​

Answer 1

Step-by-step explanation:

Given,

16²m= 4³m+4

or, 256m= 64m +4

or, 256m -64m= 4

or, 192m =4

or, m= 4/192

i.e. m= 1/48

Answer 2

Step-by-step explanation:

Given

• 16²m=4³m+4

To Find:- m

=> 16²m=4³m+4=>256m=64m+4

=> 256m-64m=4

=> 192m=4

=> m= 4/192

=> m = 1/48

So value of m is 1/48

Proof:-

256×1/48 = 64×1/48+4

=> 64/12 = 16/12 +4

=> 16/3 => 4/3+4

=> 16/3= 4+12/3

=> 16/3=16/3

Hence Proved!!