Final answer:
Condense the expression by applying logarithm rules: convert the subtraction of logarithms into a single logarithm of a quotient and rewrite the exponent as a multiplication.
Step-by-step explanation:
To condense the expression log9(8x) - 6log9(x), we use the logarithm rule that states the logarithm of a number raised to an exponent is the product of the exponent and the logarithm of the number. This allows us to rewrite the second term as log9(x6). We apply another rule that the difference of two logarithms with the same base is the logarithm of the quotient of their arguments. So, we combine the two terms to get log9(8x/x6) or log9(8/x5).