4e^5x=20
solve for x

Answer:
[tex]x=\frac{ln5}{5}[/tex]
Step-by-step explanation:
Step 1: divide both sides by 4
[tex]4e^{5x}=20\\e^{5x}=5[/tex]
Step 2: take the natural logarithm on both sides
[tex]ln e^{5x}=ln5\\5x=ln5[/tex]
Step 3: Divide both sides by 5
[tex]x=\frac{ln5}{5}[/tex]
Which is approximately 0.3218...