Question

solve the equation
4(2^m+1)-16^m=0​

Answer 1

m=2
That’s the answer

Answer 2

$\\ \rm\longmapsto 4(2^m+1)-16^m=0$

$\\ \rm\longmapsto 8^m+4-16^m$

• take 4common

$\\ \rm\longmapsto 4(2^m+1-4^m)=0$

$\\ \rm\longmapsto 2^m-4^m+1=0$

$\\ \rm\longmapsto 2^m=4^m$

$\\ \rm\longmapsto 2^m=2^{2^m}$

$\\ \rm\longmapsto 2^m=m$

$\\ \rm\longmapsto m=\dfrac{1}{2}$