I have pages of work and have looked through my books for clues, but I think I may be thinking about this one wrong. <--- it would be much easier for us to help you if we have some information about your thinking!
Can anyone help? Thanks.
1. Subtract 5 from both side. 2e^(3x)=5
2. Divide both sides by 2. e^(3x)=5/2
3. Take the natural logarithm from both side. 3x=ln(5/2)
4. Divide both sides by 3. x=1/3*ln(5/2)
5. Check the solution.
1. Subtract the 3 from both sides. e^(4x)=8
2. Taking the Natural Logarithm both sides and Simplify. 4x=ln(8), 4x=3ln(2)
3. Divide by 4. x=3/4*ln(2).
4. Check the solution.