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The solution to ln(4x) = 5 is x = e^(5/4).

To solve ln(4x) = 5, 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(4x)) = e^5

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

4x = e^5

Finally, we can solve for x by dividing both sides of the equation by 4:

x = e^5/4

Therefore, the solution to ln(4x) = 5 is x = e^(5/4).

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