Respuesta :
Answer:
x = [tex]e^{8}[/tex]
Step-by-step explanation:
Using the law of logarithms
• [tex]log_{b}[/tex] x = n ⇔ x = [tex]b^{n}[/tex]
[ note that ln x is equivalent to [tex]log_{e}[/tex] x ], hence
lnx = 8 ⇒ x = [tex]e^{8}[/tex]
ln x = 8 logarithmic equation is equivalent to x= e⁸ as exponential equation.
What is logarithmic equation?
"Logarithmic equation is an equation in which variable is represented by logarithm function."
Definition of logarithm function
logₐ y = x
⇒ y = aˣ
According to the question,
Given,
ln x = 8
As per the definition of logarithm function, it can be written as
[tex]log_{e}x = 8[/tex]
⇒e⁸ = x
Hence, ln x = 8 logarithmic equation is equivalent to x= e⁸ as exponential equation.
Learn more about logarithm function here
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