Question

Resolva a equação exponencial
2^x-3 + 2^x-1 = 52

Answer 1

2^(x-3) + 2^(x-1) = 52

2^(x) * 2⁻³ + 2^(x) *2⁻¹ =52

2^(x) * ( 1/8 +1/2) =52

2^(x) * (5/8)=52

2^(x) =52*8/5

2^(x) = 52*8/5

log 2^(x) =log (416/5)

x * log 2 = log (416/5)

x= log (416/5) / (log 2)