f(x) = 12e^(-3x) g(x) = 2e^x find the points at which the graphs intersect

Elsa Brewer

Elsa Brewer

Answered question

2022-07-27

f ( x ) = 12 e 3 x and g ( x ) = 2 e x
find the points at which the graphs intersect

Answer & Explanation

Wayne Everett

Wayne Everett

Beginner2022-07-28Added 19 answers

f ( x ) = 12 e 3 x
g ( x ) = 2 e x
to find the intersection we set f(x)=g(x)
f(x)=g(x)
12 e 3 x = 2 e x
ln ( 12 e 3 x ) = ln ( 2 e x )
ln ( 12 ) + ln ( e 3 x ) = ln ( 2 ) + ln ( e x )
ln ( 12 ) 3 x = ln ( 2 ) + x
4 x = ln ( 2 ) ln ( 12 )
x = ln ( 2 12 ) 4
ln ( 1 ) = 0
x = ln ( 1 6 ) 4 = ln ( 1 ) ln ( 6 ) 4 = 0 ln ( 6 ) 4 = ln ( 6 ) 4 = .44794
Answer:
ln ( 6 ) 4 = 0.44794
equissupnica7

equissupnica7

Beginner2022-07-29Added 4 answers

the place where graph intersect means that point share bothgraphs...
so
12 e 3 x = 2 e x
12 e 3 x = 2 e x
6 = e 4 x
4 x = ln 6
x = 1 4 ln 6
if we put this value in one of the graph.we will get y values...atthose points this graph intersects

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