z4 12 Solve for x Inx Ine 1 1 13 Solve 1 75x4 4 Find Ratio

z4 12. Solve for x Inx_ Ine = 1 1. 13. Solve 1· 7\"-5x4 4. Find Ratio for given angle 0

Solution

12)     ln(x) – ln(e) = 1

           ln(x/e) = ln(e)

           x/e = e

           x = e^2 = 7.39

13) 7^x = 5^x-4

Taking log on both sides ======> x*ln7 = (x - 4)*ln5

(x - 4)/x = ln7/ln5 = 1.21

x - 4 = 1.21*x

x = -4/0.21 = -19.05

14) Base = b

       Perpendicular = a

    So,   a/b = cot60 = 0.577