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cestrela7 [59]
3 years ago
5

Solve the equation 4(2^m+1)-16^m=0​

Mathematics
2 answers:
Karolina [17]3 years ago
7 0
M=2
That’s the answer
Otrada [13]3 years ago
6 0

\\ \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}

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