3 years ago

Simplify h(w)=6*2^(w-1)Answer:㏒₂(hw/6)=w-1

Mathematics

1 answer:

Alex73 [517]3 years ago

6 0

Answer: log₂ $(\frac{h(n)}{6})$ + 1 = n

Step-by-step explanation:

h(n) = 6 * 2ⁿ⁻¹

÷6 ÷6

$\frac{h(n)}{6}$ = 2ⁿ⁻¹

log₂ $(\frac{h(n)}{6})$ = log₂(2ⁿ⁻¹) →→log₂2 cancels out

log₂ $(\frac{h(n)}{6})$ = n - 1

log₂ $(\frac{h(n)}{6})+1$ = n

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