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The solution to e^(5x) = 11 is x = ln(11)/5.

To solve this equation, we need to isolate x. We can do this by taking the natural logarithm of both sides:

ln(e^(5x)) = ln(11)

Using the property of logarithms that ln(a^b) = b ln(a), we can simplify the left-hand side:

5x ln(e) = ln(11)

Since ln(e) = 1, we can simplify further:

5x = ln(11)

Finally, we can solve for x by dividing both sides by 5:

x = ln(11)/5

Therefore, the solution to e^(5x) = 11 is x = ln(11)/5.

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