Final answer:
To express the equation e⁰.⁵ˣ = t in logarithmic form, we take the natural logarithm (ln) of both sides. The logarithmic form of the equation is x = ln(t) / 0.5.
Step-by-step explanation:
To express the equation e⁰.⁵ˣ = t in logarithmic form, we take the natural logarithm (ln) of both sides. The natural logarithm cancels the exponential function, leaving us with the equation 0.5x = ln(t). So the logarithmic form of the equation is x = ln(t) / 0.5.