Answer :
Answer:
n = -5.792 ≈ - 5.80
Step-by-step explanation:
The question denotes,
1/32 ÷ √3 = 2^n
Solving for n,
- 1/32 * 1/√3 = 2^n
- 0.018042 = 2^n
Taking log on both sides,
- log (0.018042) = log(2^n)
Rewrite it as,
- n*log(2) = log(0.018042)
Transposing log(2) to the RHS,
- n = log(0.018042)/log(2)
- n = -5.792 ≈ -5.80