A function f has the form f(x) = a + b ln x. Find f if it is known that f(1) = 9 and f(2) = 13.

figoveck38

figoveck38

Answered question

2022-11-06

A function f has the form
f ( x ) = a + b l n x .
Find f if it is known that f(1) = 9 and f ( 2 ) = 13.1

Answer & Explanation

Jaydon Roth

Jaydon Roth

Beginner2022-11-07Added 13 answers

Solution:
f ( x ) = a + b ln ( x )
Given f(1)=9 and f(2)=13
Put x=1
f ( 1 ) = a + b ln ( 1 ) 9 = a + b ( 0 ) 9 = 9 + 0 a = 9
Now put x=2
f ( 2 ) = a + b ln ( 1 ) 13 = a + b ln ( 2 ) 13 9 = b ln ( 2 ) 4 = b ln ( 2 ) b = 4 ln ( 2 )

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