How would I solve this 1e1541010x1138e9771010x1 0350471 plea

How would I solve this?

(1*e^(-1.54*10^-10*x)-1)/(138*e^(-9.77*10^-10*x)-1)= 0.350471

please show steps.

(1*e^(-1.54*10^-10*x)-1)/(138*e^(-9.77*10^-10*x)-1)= 0.350471

e^(-1.54*10^-10x) -1 = 48.365 e^-9.77*10-10x

e^-10x ( e^-1.54 - 48.365 e^-9.77) - 1

e^-10x ( .214 - .0027 ) - 1

e^-10x = 1 / .2112

take ln on both sides

-10x = ln ( 1/.2112 )

-10x = 1.5549

x = - .15549