SOLUTION: Rewrite the following equation in terms of base e. Round any natural logarithms to three decimal places. y=3.4(0.4)^x Type the model in terms of base e y= Almost done wi

Question 865078: Rewrite the following equation in terms of base e. Round any natural logarithms to three decimal places.
y=3.4(0.4)^x
Type the model in terms of base e
y=

Almost done with homework! Thank you for your help! Much appreciated!
Answer by jim_thompson5910(35256) (Show Source): You can put this solution on YOUR website!
Exponential expressions with natural base e are of the form . The value of 'a' is already set to be 3.4 since this is the coefficient of the given equation. We just need to find k

So set equal to and solve for k

The two sides have the same exponent of x. So the two bases are 0.4 and must be equal.

Convert to logarithmic form

Using a calculator here.

Round any natural logarithms to three decimal places.

This means

and we replace with to go from

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Final Answer:

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