solve log(3x+2) = 3

To solve the equation log(3x+2) = 3, we first need to rewrite it in exponential form.

We know that in exponential form, log(base a) b = c is equivalent to a^c = b.

Therefore, log(3x+2) = 3 can be rewritten as 10^3 = 3x+2.

Now simplify the expression:

1000 = 3x + 2

Subtract 2 from both sides:

998 = 3x

Divide by 3:

x = 332

Therefore, the solution to the equation log(3x+2) = 3 is x = 332.