Question

8. Convert from exponential to logarithmic form (or vise versa).

a. 20 = ex+3
b. ex + 4 = 24
c. In(x+1) = 11
d. 2ln(x-3) = 12

Answer 1

Explanation:

a). 20 =
`e^(x+3)` ⇒ ln 20 = x + 3

b).
`e^(x)` + 4 = 24

`e^(x)` = 20 ⇒ ln 20 = x

c).
`e^(11)` = x + 1

d). 2ln(x - 3) = 12 ⇔ ln(x - 3)² = 12

`e^(12)` = (x - 3)²