66.6k views
5 votes
Simplify h(w)=6*2^(w-1)

Answer:
㏒₂(hw/6)=w-1

User Arinola
by
7.6k points

1 Answer

7 votes

Answer: log₂
((h(n))/(6)) + 1 = n

Explanation:

h(n) = 6 * 2ⁿ⁻¹

÷6 ÷6


(h(n))/(6) = 2ⁿ⁻¹

log₂
((h(n))/(6)) = log₂(2ⁿ⁻¹) →→log₂2 cancels out

log₂
((h(n))/(6)) = n - 1

log₂
((h(n))/(6))+1 = n


User Yann Biancheri
by
7.8k points

Related questions

asked Mar 16, 2024 187k views
James Harcourt asked Mar 16, 2024
by James Harcourt
8.1k points
1 answer
3 votes
187k views
asked Sep 4, 2024 117k views
Khunshan asked Sep 4, 2024
by Khunshan
8.9k points
1 answer
3 votes
117k views