Answer:
If we solve the equation \(log(3x+2)=3\) we get that \(x=332.67\).
Step-by-step explanation:
We have to remember that the logarithm is the inverse operation to exponentiation, so we have that:
\(c=log_{b}\ a\ \Longrightarrow\ a=b^{c}\)
If the base \(b\) doesn't appear explicitly it means that the logarithm is in base 10.
Going back to our equation we have that:
\(3=log_{10}(3x+2)\ \Longrightarrow\ (3x+2)=10^{3}\)
\(3x+2=1000\)
\(3x=998\)
\(x=332.67\)
