Answer:
b ≤ 1.869871...
Explanation:
First realize that 2ᵇ⁺¹ means 2·2ᵇ, so we can simplify the inequality to:
2ᵇ ≤ 3.655
Then, as usual with exponential equations, take the log( ) on both sides:
log(2ᵇ) ≤ log(3.655)
Now you can use the rule that log(aᵇ) = b·log(a):
b·log(2) ≤ log(3.655)
So b ≤ log(3.655) / log(2)
From here on you can use your calculator to find above answer.