I need help on 4 Exponential and Logarithmic Equations..

Question

destinyyyy · Answer

Solve the exponential equation. Express the solution in terms of natural logarithms. Then, use a calculator to obtain a decimal approximation for the solution. 

e^5-3x  =1210

destinyyyy · Answer

I got 

x= 5-Ln1210 over 3 = 2.63

destinyyyy · Answer

Its telling me 2.63 is wrong.

destinyyyy · Answer

Yes.

destinyyyy · Answer

Um the correct answer for the first part is x= 5-Ln1210 over 3

destinyyyy · Answer

I need help with the second part. The decimal approximation.

anonymous · Answer

You have: $$e^{5-3x}=1210$$ Now take the reciporicals on both sides: $$e^{3x-5}=\frac{ 1 }{ 1210 }$$ Now you want to eliminate the exponential from the left hand side. You take the natural logarithm on both sides: $$3x-5=-log(1210)$$  Solve x:
$$3x=5-log(1210)$$ 
$$x=\frac{5-log(1210)}{3}$$

destinyyyy · Answer

Your answer is incorrect. I already said what the correct answer is to the first part. I was asking for help on the second part.