Final answer:
To evaluate the expression log 9(0.3), we can use the change of base formula to convert it to the common logarithm. Using a calculator, we find that log 9(0.3) ≈ -0.5487.
Step-by-step explanation:
The expression log9(0.3) represents the logarithm of 0.3 with base 9. To evaluate this expression, we can use the change of base formula, which states that logab = logcb / logca. Let's use the common logarithm (base 10) as the new base:
log9(0.3) = log10(0.3) / log10(9)
Using a calculator, we find that log10(0.3) ≈ -0.5229 and log10(9) ≈ 0.9542. Therefore, log9(0.3) ≈ -0.5229 / 0.9542 ≈ -0.5487.