Question

Solve this equation for x. Round your answer to
the nearest hundredth.
6 = ln(x + 4)

Answer 1

x ≈ 399.43

Explanation:

Using the rule of logarithms

`log_(b)` x = n ⇒ x =
`b^(n)`

Given

`log_(e)` (x + 4) = 6 , then

x + 4 =
`e^(6)` ( subtract 4 from both sides )

x =
`e^(6)` - 4 ≈ 399.43 ( to the nearest hundredth )