Final answer:
To condense the expression 1/3 (ln27+2-ln8) into a single logarithm, you can use the properties of logarithms. The condensed expression is ln(6).
Step-by-step explanation:
To condense the expression 1/3 (ln27+2-ln8) into a single logarithm, we can use the properties of logarithms. First, we can rewrite the expression as 1/3 (ln(27) + ln(8^2) - ln(8)). Next, we can use the property log a + log b - log c = log(ab/c). Applying this property, we have 1/3 (ln(27) + ln(64) - ln(8)) = 1/3 (ln(27*64/8)) = 1/3 (ln(216)). Finally, we can simplify this to ln(216^(1/3)), or ln(6).