Final answer:
To convert the expression e¹⁄₂=1.6487 to logarithmic form, you would write it as ln(1.6487) = ¹⁄₂, where ln denotes the natural logarithm.
Step-by-step explanation:
To write e¹⁄₂=1.6487 in logarithmic form, you convert the exponential equation to its equivalent logarithmic equation. The base of the natural logarithm is e (where e ≈ 2.71828), so you would use the natural logarithm, denoted as ln. The logarithmic form of the given equation is ln(1.6487) = ¹⁄₂.
The general rule for converting from exponential to logarithmic form is as follows: If bⁿ = x, then logb(x) = n. Applying this rule here, the base (b) is e, the exponent (n) is ¹⁄₂, and the result (x) is 1.6487.