Final answer:
To solve the given equation and expression, substitute the values of a, b, and c, and calculate the result.
Step-by-step explanation:
To solve the equation log(b) = 6 and log(c) = -7 in the expression log(a³ b^(9))/(c²), we can substitute the given values of b, c, and a into the equation and simplify.
Substituting the values a = 1, b = 1.2 × 10-3, and c = -6.0 × 10-3 into the expression, we can calculate the result as:
log(a³ b^(9))/(c²) = log(1³(1.2 × 10-3)^(9))/((-6.0 × 10-3)²)
= log(1.728 × 10-6)/3.6 × 10-5
= -6 + 5 - 3
= -4