solving a logarithmic equation - mrs. anita...
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Solving a Logarithmic Equation
Change to exponential form.
42=16
Solve.
Check!
Loga M+logaN=loga (MN)
FOILChange to an exponential expression.
Place the quadratic equation in standard form.
Factor.
Both terms are undefined.
Check x = 3.
Solution set {x | x = 3}.
Check: Another way to check is to use a graphing utility. Graph Y1= [log (x+3) / log (6)+ log (x-2)/ log(6)]and Y2= 1, and determine the point of intersection.
Point of intersection x=3, y=1.
43=64
Equate exponents.
Equation of Quadratic Type
32=9
Factor.
Solve.
No solution. Solution x = 0.
Solution set {x | x =0}.
x
Y1= x2-ex
Y2= 3Calculate the intersection.
Homework 4.5
Page 327 # 2-60 (even)
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