Solve the equation ex2e6x middot 1e8 What is the solutionSol

Solve the equation. e^x^2=e^6x middot 1/_e^8 What is the solution?

Solution

Given that

e^{x^2}= e^6x .(1 / e⁸)

e^{x^2}.e⁸ = e^6x

ln e^{x^2+8} = ln e^6x

x² + 8 = 6x

x² - 6x + 8 = 0

( x - 2 ) (x - 4 ) = 0

x - 2 =0 , x - 4 = 0

x = 2 ,x = 4

Therefore,

x = 2,4