solve for x ex1 ex 2 solve for ySolution1 ex1 ex 2 rearra

solve for x:

e^{x+1} = e^x + 2

solve for y:

Solution

1) e^(x+1) = e^x +2

rearranging: e^x( e -1) = 2

e^x = 2/(e-1)

take natural log on both sides:

ln(e^x) = ln(2/(e-1) )

x = ln(2/(e-1) ) = 0.1519

x =0.1519

2) 8(10^y +5) = 46 -5(1 -10^y)

rearraning : 3*10^y = 46 -5 -40

3*10^y = 1

10^y = 1/3 = 0.33

taking log on both sides: y log10 = log0.33

y = -0.48