Answer:
x ≈ 1091.63
Step-by-step explanation:
Using the rule of logarithms
[tex]log_{b}[/tex] x = n ⇔ x = [tex]b^{n}[/tex]
note that ln x is to the base e
Given
ln(x + 5) = 7, then
x + 5 = [tex]e^{7}[/tex] ( subtract 5 from both sides )
x = [tex]e^{7}[/tex] - 5 ≈ 1091.63 ( nearest hundredth )
