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## AmTran_Bus one year ago log question

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1. AmTran_Bus

If I had ln(3x-10)=2

2. AmTran_Bus

I know you multiply each side by e

3. AmTran_Bus

But does it make the right side 2*e or e^2?

4. anonymous

You do not multiply both sides by e, you have to apply exponential on both sides

5. anonymous

Firstly multiply $$e$$ both the sides..

6. NotTim

NotMultiply.

7. anonymous

$$ln$$ is basically called Natural Log, it is by default having base as $$e$$..

8. NotTim

M4th got it.

9. anonymous

remember that $e^{ln(x)} = x$

10. anonymous

$\ln = \color{green}{\ln _e}$

11. AmTran_Bus

Yea, I know that. But the right side, the solution says you say e^2, and I would have said 2e.

12. AmTran_Bus

13. anonymous

Applying exponential on both side, you get: $e^{ln(3x-10)} = e^{2}$

14. anonymous

you are multiplying by "e" on the right side, that is wrong

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