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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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