1. Examples Solving Exponential Equations
Solve by converting into log form. Round off to the nearest thousandth.
1) x = 21
2) e-3x = 10
log = 4x
log e 10 = -3x
log (21)
log (3)
ln 10 = -3x
= -3x
= 4x
= -3x
= 4x
= x
.693 = x

2. Examples Solving Exponential Equations
Solve by converting into log form. Round off to the nearest thousandth.
3) 2 (3)x = 14
4) -2/3 (e)5x = -10 -8 +6
(-3/2) -2/3 (e)5x = -18 (-3/2)
2 (3)x+2 = 20
e5x = 27
3x+2 = 10
log = x + 2
log e 27 = 5x
log (10)
log (3)
ln 27 = 5x
= x + 2
= 5x
= x + 2 -2
.659 = x
.096 = x