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5 votes
4ex = 17 find the exact solution in terms of logarithms

User Shawn Thye
by
9.0k points

1 Answer

3 votes

Answer:

ln(17) -ln(4)

Explanation:

You want the solution to 4e^x = 17.

Logarithms

Taking the natural log of both sides of the equation, we have ...

ln(4) +x = ln(17)

x = ln(17) -ln(4)

__

Additional comment

We could divide by 4 first, so the solution could be written as ...

x = ln(4.25)

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User Codingjeremy
by
7.7k points
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