Answer:
To solve for x in the equation log(7x+6) = 3, we can use the definition of logarithms which states that log(base a)(b) = c if and only if a^c = b.
In this case, we have log(7x+6) = 3, which means that 10^3 = 7x+6 (since the base of the logarithm is not specified, we can assume it to be 10, which is the most common base).
Simplifying the right-hand side of the equation, we have:
10^3 = 7x + 6
1000 - 6 = 7x
994 = 7x
x = 994/7
Therefore, x equals 142.