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The solution to ln(5x) = 6 is x = e^6/5.

To solve the equation ln(5x) = 6, we first need to isolate x. We can do this by exponentiating both sides of the equation with e, the base of the natural logarithm. This gives us:

e^(ln(5x)) = e^6

Using the property of logarithms that ln(e^x) = x, we can simplify the left-hand side of the equation to:

5x = e^6

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

x = e^6/5

Therefore, the solution to ln(5x) = 6 is x = e^6/5.

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