Voicethread: Solving Log Equations II
In the second voicethread on solving logarithmic equations, we were introduced to something new :O ! We learned what to do when the solution to a log. equation becomes a quadratic equation! We must simply find the 2 solutions to our quadratic equation, then verify them by plugging them individually into our original log. equation. They are only solutions if they give a log with a positive argument. For example:
log(x+3)+logx=2
log((x+3)x)=2
10^2 = x^2 +3x
x^2 + 3x-100=0
Quadratic Equation!
solutions: 8.6 -11.6
log(8.6+3) log(8.6) ✔
log(-11.6+3) log(-11.6) X
log(-11.6+3) log(-11.6) X
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