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Solve the equation logb=6,logc=-7 log(a³ b^(9))/(c²)

User Gmolau
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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

User Mtadd
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