Solve the equation ln(3x) = 7.

The solution to ln(3x) = 7 is x = e^(7/3).

To solve the equation ln(3x) = 7, 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(3x)) = e^7

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

e^(ln(3) + ln(x)) = e^7

Next, we can use the property of exponents that e^(ln(a)) = a to simplify the left-hand side of the equation further:

3x = e^7

Finally, we can solve for x by dividing both sides of the equation by 3:

x = e^(7/3)

Therefore, the solution to ln(3x) = 7 is x = e^(7/3).