Question

1 over 32 divided by cubed root 2 = 2 to the power of N
Work out the value of N

Answer 1

n = -5.792 ≈ - 5.80

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