Rearranging an Energy Decay Equation

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To rearrange the energy decay equation E(t) = Eo*e^(-t/T) for E(t), the correct approach involves using logarithmic properties. The logarithm of a product and the logarithm of e raised to a power are key concepts that need to be applied correctly. The initial attempt to take the natural logarithm of both sides was flawed, as it misapplied the logarithmic rules. Understanding these logarithmic properties will clarify the correct steps to isolate E(t). Properly applying these concepts will lead to a successful rearrangement of the equation.
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Hi, I'm having trouble rearranging this equation, solving for E(t):

E(t) = Eo*e^(-t/T)

My attempt:

ln E(t) = Eo * (-t/T) and now I'm stuck.

Any help would be appreciated!
 
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The logarithm of the right side is incorrect.

What is the logarithm of a product?
What is the logarithm of e raised to some power?

Please review the answers to these two questions.
 
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