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.