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Solve the problem down belowSimplify your answer and rounded to the nearest thousandth

Solve the problem down belowSimplify your answer and rounded to the nearest thousandth-example-1

1 Answer

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We need to solve the following equation:


e^(0.006x)=26

First, set both sides ln:


\ln e^(0.006x)=26

We can down the exponents and simplify lne=1 :


0.006x=\ln26

Now, divide both sides by 0.006:


(0.006x)/(0.006)=(\ln26)/(0.006)

Simplify:


x=(\ln(26))/(0.006)
x=543.02

Hence, the answer is x=543.02 (The answer is rounded to the nearest thousandth)

User Bogdan Gavril MSFT
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