Question

Solve this equation for x. Round your answer to

the nearest hundredth.
7 = In(x + 5)
​

Answer 1

x ≈ 1091.63

Explanation:

Using the rule of logarithms

`log_(b)` x = n ⇔ x =
`b^(n)`

note that ln x is to the base e

Given

ln(x + 5) = 7, then

x + 5 =
`e^(7)` ( subtract 5 from both sides )

x =
`e^(7)` - 5 ≈ 1091.63 ( nearest hundredth )