e^x=4

is ln4 explain why

To solve the equation e^x = 4, we can take the natural logarithm of both sides.

ln(e^x) = ln(4)

Since ln and e are inverse functions, ln(e^x) and e^(ln x) are equal.

So, the equation simplifies to:

x = ln(4)

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