Question

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

Answer 1

Answer:

x ≈ 11.09

Step-by-step 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 )