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How to solve this natural logarithm?
5e^2x = 500
The answer is 2.3026 but I just can't seem to get it.
Please explain what you are doing to solve it.
Thanks!
2 Answers
- 1 decade agoFavorite Answer
Divide both sides by 5 to get
e^2x=100
then multiply both sides by ln()
you get
2x=ln(100)
divide both sides by 2
you get
x=(ln(100))/2
x=2.302585093
- 1 decade ago
Firstly, bring the 5 to the right side, which would make it 500/5, which will give you 100.
Whenever you see e^variable on the left hand side and a constant on the right hand side, all you have to do to eliminate the e is press the 'ln' button on your Scientific calculator, followed by the constant on the right hand side. In this case, ln 100 gives us 4.6052. Now, 2x = 4.6052. Bring the 2 over to the right side, which is 4.6052/2. Final answer is 2.3026. Hope that made sense.
