2[tex] e^{3x} [/tex] = 4[tex] e^{5x} [/tex]
[tex] e^{3x} [/tex] = 2[tex] e^{5x} [/tex] divided both sides by 2
ln ([tex] e^{3x} [/tex] ) = ln (2[tex] e^{5x} [/tex] ) applied "ln" to both sides
ln ([tex] e^{3x} [/tex] ) = ln 2 + ln tex] e^{5x} [/tex] ) applied the log product rule
3x = ln 2 + 5x applied "ln e = 1"
-2x = ln 2 subtracted 5x from both sides
x = [tex] \frac{ln2}{-2} [/tex] divided both sides by "-2"
