# Math Help - Logarithm Function

1. ## Logarithm Function

Can someone give me a hand?

The problem is Log3 (3x-2)=3

I have A= 3

and then I have 3^3 (3x-2)

X=?

I can't figure out how to sove it. I know it is a fraction but can anyone tell me what it is or how to solve it?

2. Originally Posted by dimanre
Can someone give me a hand?

The problem is Log3 (3x-2)=3

I have A= 3

and then I have 3^3 (3x-2)

X=?

I can't figure out how to sove it. I know it is a fraction but can anyone tell me what it is or how to solve it?
$\begin{gathered}
{\log _3}\left( {3x - 2} \right) = 3; \hfill \\
3x - 2 = {3^3}; \hfill \\
3x - 2 = 27. \hfill \\
\end{gathered}$

You still have to solve linear equation $3x - 2 = 27.$

3. ## Ok ..so (3x-2) =27

ok..so 3x-2=27

What is the easiest way to figure it out? obviously 3 * 10 =30 -2 would be 29...so that is not the answer. I know this may sound dumb but how do i then solve for x? I am very new to calculus. I don't need you to give me the answer if you rather not..but can you direct me a little further? thank you..

4. ## Is my answer correct

if my math is correct..i get 29..is that correct?

5. Originally Posted by dimanre
ok..so 3x-2=27

What is the easiest way to figure it out? obviously 3 * 10 =30 -2 would be 29...so that is not the answer. I know this may sound dumb but how do i then solve for x? I am very new to calculus. I don't need you to give me the answer if you rather not..but can you direct me a little further? thank you..
$\begin{gathered}3x - 2 = 27; \hfill \\
3x = 29; \hfill \\
x = \frac{{29}}
{3}. \hfill \\ \end{gathered}$

6. ## Thank you very much

Just as you gave me the answer I found an example in my text. But I did it the other way and got 3/29 not 29/3. Thank you. I know i have a long way to go to learn..but I am honestly trying hard. THanks and I am sure i will be having more questions.