Use factoring to determine the exact solutions: 6e^2x-17e^x+5=0

Answer 1

6e^2x-17e^x+5=0 , e^2x = e^x * e^x

( 2 e^x - 5 ) ( 3 e^x - 1) = 0

either 2 e^x - 5 = 0

e^x = 5/2

ln e^x = ln 5/2 , ( ln e^x =x)

x = ln 5/2

or 3 e^x - 1 = 0

e^x = 1/3

x = ln 1/3