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=(1)/(2)`