Question

Solve this equation for x. Round your answer to
the nearest hundredth.
7 = In(x + 5)
​

Answer 1

Answer:

x ≈ 1091.63

Step-by-step 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 )