Question

How do I solve log(3x + 2) = 3?

Answer 1

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:

                               $3=log_{10}(3x+2)\ \Longrightarrow\ (3x+2)=10^{3}$

                                                  $3x+2=1000$

                                                       $3x=998$

                                                      $x=332.67$