Question

9 = ln(x + 5)
Solve this equation for x. Round your answer to the nearest hundredth.

Answer 1

x ≈ 8098.08

Explanation:

using the rule of logarithms

`log_(b)` x = n ⇒ x =
`b^(n)`

note that ln represents
`log_(e)`

given

9 = ln(x + 5) or

ln(x + 5) = 9 , or
`log_(e)` (x + 5) = 9 , then

x + 5 =
`e^(9)` ( subtract 5 from both sides )

x =
`e^(9)` - 5 ≈ 8103.08 - 5 = 8098.08 ( to the nearest hundredth )