Question

Solve this equation for x. Round your answer to
the nearest hundredth.
3 = In(x + 9)

Answer 1

x ≈ 11.09

Explanation:

Using the rule of logarithms

`log_(b)` x = n ⇒ x =
`b^(n)`

Given

ln(x + 9) = 3 , that is

`log_(e)` (x + 9) = 3 , then

x + 9 = e³ ( subtract 9 from both sides )

x = e³ - 9 ≈ 11.09 ( to the nearest hundredth )