Solve the equation. round to the
nearest thousandth.
4e2x = 5
x = [? ]

x = 0.1116 (rounded to 4 decimal places)

Step-by-step explanation:

We need to isolate "e" first, so we do:

Solving these types of equations requires us to take the Natural Logarith (Ln) of both sides, so we have:

We can use the property of logarithms shown below to further simplify:

So, we have:

We know Ln(e) = 1, thus now, we can replace it and solve for x:

So

x = 0.1116 (rounded to 4 decimal places)

c is the final answer! : )