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(Rewrite as a logarithm equation.) 3. Use properties of logarithms to rewrite exponential equation as a linear equation. 4. Solve accordingly. Examples:.
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Solving Exponential and Logarithmic Functions Video Lecture
Section 5.
Course Learning Objectives: Solve certain types of exponential and logarithmic equations and inequalities. (Review from Math 940)
**Weekly Learning Objectives:
Solving Exponential and Logarithmic Equations
Solving exponential equations (Strategy)
Examples:
3 B^ &B$^ %B
B œ * œ %
ˆ $#‰
$ #B^ $ B^ œ # / B^ "#/ B œ "
Solving logarithmic equations (Strategy)
log (^) % Ð$B #Ñ œ # log& ˆB^ # B % ‰ œ #
ln B œ ) log (^) % B log%ÐB $Ñ œ "
When solving a logarithmic or exponential inequality, take the logarithm or exponential of both sides (whichever is appropriate). If the function you are applying to both sides of the equation is increasing, the order of the inequality remains the same. If the function applied to both sides is decreasing, the order of the inequality reverses.
$ Ÿ log"#B & / / B# $B#
